HangOnWeb - IBM BPM Tutorials,SAIL MT,SEO,Best Practices and Practical tips from my experience.

Operation Research MCQ for SAIL MT Materials

<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q1. When the problem
involves the allocation of n different </span><span style="font-size: 14pt;">facilities to n different tasks, it is
often termed as </span><span style="font-size: 14pt;">an ….....................</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) Transportation problem<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(b) Game theory.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(c) Integer programming
problem<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(d) Assignment problem<o:p></o:p></span></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q2. When there is no column
and no row without assignment. In </span><span style="font-size: 14pt;">such case, the current assignment
is…………………..</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) Maximum<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(b) Optimal<o:p></o:p></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(c) Minimum<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(d) Zero<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q3.  Not returning to the node already passed
through or passing </span><span style="font-size: 14pt;">through every node once and only once.
Problem of such type </span><span style="font-size: 14pt;">are called as ……………….</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) Assignment problem<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(b) Transportation problem<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(c) I.P.P<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(d) Routing problem<o:p></o:p></span></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q4. (i) N = n. then
assignment is optimal<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">       (ii) N<n. then assignment is ………………..<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) less<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(b) More<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(c) Equal<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(d) Not optimal<o:p></o:p></span></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q5.An assignment problem can
be formulated as a linear </span><span style="font-size: 14pt;">programming problem, it is solved by
special method know </span><span style="font-size: 14pt;">as…………….</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) Gomary,s method<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(b) Hungarian method</span></b><span style="font-size: 14.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(c) Branch and bound method<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(d) Queuing model</span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q6. Consider the problem of
assigning five jobs to five person. </span><span style="font-size: 14pt;">The assignment costs are given as
follows:-</span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt;">
 <tbody>
<tr style="height: 20.25pt; mso-row-margin-left: 95.4pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
  <td style="border-bottom: solid windowtext 1.0pt; border: none; mso-cell-special: placeholder;" width="127"><div class="MsoNormal">
<br /></div>
</td>
  <td colspan="5" style="border: solid windowtext 1.0pt; height: 20.25pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 315.0pt;" valign="top" width="420"><div class="MsoNormal">
<span style="font-size: 14.0pt;">                   Job<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 33.25pt; mso-yfti-irow: 1;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal">
<span style="font-size: 14.0pt;">Persons <o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">1<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">2<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">4<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 33.25pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">5<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal">
<span style="font-size: 14.0pt;">A<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">8<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">4<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">2<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">6<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">1<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal">
<span style="font-size: 14.0pt;">B<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">0<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">9<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">4<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal">
<span style="font-size: 14.0pt;">C<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">8<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">9<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">2<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">6<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal">
<span style="font-size: 14.0pt;">D<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">4<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">1<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">0<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">3<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 28.75pt; mso-yfti-irow: 6; mso-yfti-lastrow: yes;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal">
<span style="font-size: 14.0pt;">E<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">9<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">8<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">9<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">5<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14pt;">Determine the optimum
assignment cost.</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) 10<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(b) 8<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(c) 9<o:p></o:p></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(d) 11<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q7. Four jobs are to be done
on four different machines. The cost in (rupees) </span><span style="font-size: 14pt;">of producing  ith  on
the  jth 
machines is given below.</span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 23.4pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt;">
 <tbody>
<tr style="height: 21.0pt; mso-row-margin-left: 97.95pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
  <td style="border-bottom: solid windowtext 1.0pt; border: none; mso-cell-special: placeholder;" width="131"><div class="MsoNormal">
<br /></div>
</td>
  <td colspan="4" style="border: solid windowtext 1.0pt; height: 21.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 317.0pt;" valign="top" width="423"><div class="MsoNormal">
<span style="font-size: 14.0pt;">                          MACHINES<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 30.55pt; mso-yfti-irow: 1;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal">
<span style="font-size: 14.0pt;">JOBS<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal">
<span style="font-size: 14.0pt;">M1<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal">
<span style="font-size: 14.0pt;">M2<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">M3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 30.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">M4<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 16.75pt; mso-yfti-irow: 2;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal">
<span style="font-size: 14.0pt;">J1<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal">
<span style="font-size: 14.0pt;">15<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal">
<span style="font-size: 14.0pt;">11<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">13<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">15<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 17.55pt; mso-yfti-irow: 3;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal">
<span style="font-size: 14.0pt;">J2<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal">
<span style="font-size: 14.0pt;">17<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal">
<span style="font-size: 14.0pt;">12<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">12<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">13<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 16.75pt; mso-yfti-irow: 4;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal">
<span style="font-size: 14.0pt;">J3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal">
<span style="font-size: 14.0pt;">14<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal">
<span style="font-size: 14.0pt;">15<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">10<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 16.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">14<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 17.55pt; mso-yfti-irow: 5; mso-yfti-lastrow: yes;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.95pt;" valign="top" width="131"><div class="MsoNormal">
<span style="font-size: 14.0pt;">J4<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 71.25pt;" valign="top" width="95"><div class="MsoNormal">
<span style="font-size: 14.0pt;">16<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 70.5pt;" valign="top" width="94"><div class="MsoNormal">
<span style="font-size: 14.0pt;">13<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.6pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">11<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 17.55pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 87.65pt;" valign="top" width="117"><div class="MsoNormal">
<span style="font-size: 14.0pt;">17<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14pt;">Assign the jobs to different machines so a
to minimize the total cost.</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(a) 50<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(b) 52<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">(c) 54<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">(d) 49</span></b><br />
<b><span style="font-size: 14.0pt;"><br /></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q8.As the no. of persons is
the same as the number of jobs, ……………</span><span style="font-size: 14pt;">is said to be balanced.</span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">    (a)
Assignment problem<o:p></o:p></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (b) Hungarian method<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (c) L.P.P<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (d) Transportation problem<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q9. A marketing manager has
5 salesmen and 5 sales districts. Considering </span><span style="font-size: 14pt;">the capabilities of the salesman and the
nature of districts, the marketing </span><span style="font-size: 14pt;">manager estimates that sales per month
(in hundred rupees) for each </span><span style="font-size: 14pt;">salesmen in each district would be as
follows.</span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: .5in; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; width: 559px;">
 <tbody>
<tr style="height: 15.75pt; mso-row-margin-left: 81.0pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
  <td style="border-bottom: solid windowtext 1.0pt; border: none; mso-cell-special: placeholder;" width="108"><div class="MsoNormal">
<br /></div>
</td>
  <td colspan="5" style="border: solid windowtext 1.0pt; height: 15.75pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 4.7in;" valign="top" width="451"><div class="MsoNormal">
<span style="font-size: 14.0pt;">                           Sales districts<o:p></o:p></span></div>
</td>
 </tr>
<tr style="height: 28.75pt; mso-yfti-irow: 1;">
  <td style="border-top: none; border: solid windowtext 1.0pt; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal">
<span style="font-size: 14.0pt;">Salesman<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">A<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">B<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">C<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">D<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 28.75pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal">
<span style="font-size: 14.0pt;">E<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal">
<span style="font-size: 14.0pt;">1<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">32<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">38<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">40<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">28<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal">
<span style="font-size: 14.0pt;">40<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal">
<span style="font-size: 14.0pt;">2<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">40<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">24<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">28<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">21<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal">
<span style="font-size: 14.0pt;">36<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal">
<span style="font-size: 14.0pt;">3<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">41 <o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">27<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">33<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">30<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal">
<span style="font-size: 14.0pt;">37<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal">
<span style="font-size: 14.0pt;">4<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">22<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">38<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">41<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">36<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal">
<span style="font-size: 14.0pt;">36<o:p></o:p></span></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal">
<span style="font-size: 14.0pt;">5<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">29<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">33<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84"><div class="MsoNormal">
<span style="font-size: 14.0pt;">40<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96"><div class="MsoNormal">
<span style="font-size: 14.0pt;">35<o:p></o:p></span></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 59.4pt;" valign="top" width="79"><div class="MsoNormal">
<span style="font-size: 14.0pt;">39<o:p></o:p></span></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal">
<span style="font-size: 14pt;">Find the assignment of
salesman to districts that will result in maximum sales. So the maximum sales
is………………</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (a) 20001<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">    (b) 19100<o:p></o:p></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (c) 18200<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (d) 20100<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q10………..is a special
case of L.P.P where all or some v</span><span style="font-size: 14pt;">ariables are constrained to assume
non-negative integer values.</span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (a) Transportation problem<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (b) L.P.P<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (c) Gomory’s method<o:p></o:p></span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">    (d) I.P.P </span></b><span style="font-size: 14.0pt;"><o:p></o:p></span><br />
<b><span style="font-size: 14.0pt;"><br /></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q11………………problem has lot
of applications in business and </span><span style="font-size: 14pt;">industry where quite often discrete nature of
the variables is involved in </span><span style="font-size: 14pt;">many decision making situation.</span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">     (a) I.P.P<o:p></o:p></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">     (b) L.P.P<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">     (c) Assignment problem<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">     (d)Simplex method<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q12.If  all the variables are constrained to take
only integral value i.e. k=n, it </span><span style="font-size: 14pt;">is 
called an ………….. integer programming problem .</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">one<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">many<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<b><span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt; font-weight: normal;">  
</span></span></b><b><span style="font-size: 14.0pt;">all(pure)<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l5 level1 lfo1; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">none          <o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q13.Only some of the
variables are restricted to take integral value and rest </span><span style="font-size: 14pt;">(n-k) variables are free to take any
non-negative values, then the </span><span style="font-size: 14pt;">problem is known as……………… integer
programming problem.</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">single<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<b><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt; font-weight: normal;"> </span></span></b><b><span style="font-size: 14.0pt;">mixed<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">both (a) and (b)<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">none of these<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q14. Find the optimum integer
solution to the following all I.P.P.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">        Maximize            z=X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">+2X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">       Subject to the constraints<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                                    X</span><span style="font-size: 8.0pt;">1 </span><span style="font-size: 14.0pt;">+ X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">   ≤ 7<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                                   2X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">          ≤ 11<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                                           2X</span><span style="font-size: 8.0pt;">2  </span><span style="font-size: 14.0pt;">≤ 7<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                                     X</span><span style="font-size: 8.0pt;">1,</span><span style="font-size: 14.0pt;"> X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">   ≥ 0 and are integers<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">The integer optimum solution
to the IPP is…………………..</span></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">    (a) X</span></b><b><span style="font-size: 8.0pt;">1</span></b><b><span style="font-size: 14.0pt;">=4, X</span></b><b><span style="font-size: 8.0pt;">2</span></b><b><span style="font-size: 14.0pt;">=3 <o:p></o:p></span></b></div>
<div class="MsoNormal">
<b><span style="font-size: 14.0pt;">        And
max Z=10<o:p></o:p></span></b></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">    (b) X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=6, X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=2<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">         And max Z=9<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">     (c) X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=3, X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=4<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">         And max Z=11<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l7 level1 lfo2; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(e)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">None of these.<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q15 Use branch and bound
technique to solve the following I.P.P.<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">          Maximize                 Z=7x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">+9x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">
------------------------- (1)<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                Subject to the constraints<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 151.5pt;">
<span style="font-size: 14.0pt;">     -x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;"> + 3x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">≤ 6------------------------- (2)<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 151.5pt;">
<span style="font-size: 14.0pt;">     7x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">+ x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"> ≤ 35<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 151.5pt;">
<span style="font-size: 14.0pt;">     0≤ x</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">, x</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;"> ≤ 7----------------------- (3)<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                                 X1, x2 are
integers --------------------- (4) <o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Hence the optimum integer
solution to the given I.P.P. is</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><b><span style="font-size: 14.0pt;">Zo=55, X</span></b><b><span style="font-size: 8.0pt;">1</span></b><b><span style="font-size: 14.0pt;">=4, X</span></b><b><span style="font-size: 8.0pt;">2</span></b><b><span style="font-size: 14.0pt;">=3<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">Zo=45, X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">= 6, X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=2<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">Both (a) and(b)<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l2 level1 lfo3; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q16. Use branch and bound
techniques to solve the following problems<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                Max Z=3X1+3X2+13X3<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">          Subject to <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 151.5pt;">
<span style="font-size: 14.0pt;">     -3X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;"> +6X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">+7X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">≤8<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 151.5pt;">
<span style="font-size: 14.0pt;">     6X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">-3X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">+7X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">≤ 8<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 151.5pt;">
<span style="font-size: 14.0pt;">     0≤Xj≤5<o:p></o:p></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">                               And Xj are integer j=1, 2, 3</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><b><span style="font-size: 14.0pt;">X</span></b><b><span style="font-size: 8.0pt;">1</span></b><b><span style="font-size: 14.0pt;">=X</span></b><b><span style="font-size: 8.0pt;">2</span></b><b><span style="font-size: 14.0pt;">=0, X</span></b><b><span style="font-size: 8.0pt;">3</span></b><b><span style="font-size: 14.0pt;">=1, Z*=13<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=2, X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">=0, Z*=14<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">X</span><span style="font-size: 8.0pt;">1</span><span style="font-size: 14.0pt;">=1,X</span><span style="font-size: 8.0pt;">2</span><span style="font-size: 14.0pt;">=0, X</span><span style="font-size: 8.0pt;">3</span><span style="font-size: 14.0pt;">=0, Z*=10<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l0 level1 lfo4; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q17 ………………… are the two
algorithms to determine the optimal </span><span style="font-size: 14pt;">solution for an integer programming
problem.</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">Simplex and branch and bound method<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">Branch and bound and simulation method<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">Cutting plane algorithm and branch and bound  algorithm<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l3 level1 lfo5; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">None of these.</span><br />
<span style="font-size: 14.0pt;"><br /></span></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q18. Cutting plane algorithms
is devised by………………</span></div>
<div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;">
<span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt;">  
</span></span><span style="font-size: 14.0pt;">Land and Doig<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;">
<b><span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><b><span style="font-size: 14.0pt;">Gomory<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">  
</span></span><span style="font-size: 14.0pt;">Both (a) and (b)<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 37.5pt; mso-list: l6 level1 lfo6; tab-stops: list 37.5pt; text-indent: -19.5pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q19. branch and bound algorithm
is developed by………………..</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><b><span style="font-size: 14.0pt;">Land and
Doig<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">Erlang<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">Both (a) and (b)<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l1 level1 lfo7; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">None of these<o:p></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-size: 14.0pt;">Q20. In the optimum solution
if all the variables have ………….. values, </span><span style="font-size: 14pt;">the current solution will be desired
optimum integer solution.</span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<b><span style="font-size: 14.0pt;">(a)<span style="font-size: 7pt; font-weight: normal;">  </span></span></b><b><span style="font-size: 14.0pt;">Integer<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(b)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">Positive <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(c)<span style="font-size: 7pt;">   </span></span><span style="font-size: 14.0pt;">Negative<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 36.75pt; mso-list: l4 level1 lfo8; tab-stops: list 36.75pt; text-indent: -18.75pt;">
<span style="font-size: 14.0pt;">(d)<span style="font-size: 7pt;">  </span></span><span style="font-size: 14.0pt;">None of these.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in;">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in;">
<br /></div>
<div class="MsoNormal">
<br /></div>
<br />
<div class="MsoNormal" style="margin-left: .25in;">
<br /></div>
</div>

HOME SAIL MT ADMIN Operation Research MCQ for SAIL MT Materials

Q1. When the problem involves the allocation of n different facilities to n different tasks, it is often termed as an …....................

SAIL Management Trainee Recruitment 2014 - Syllabus and Exam Pattern

6:25 AM Sailaja K 0

<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<span style="font-family: Arial, Helvetica, sans-serif;">Exam Pattern of SAIL Management Trainee Recruitment </span></h2>
<span style="font-family: Arial, Helvetica, sans-serif;">Eligible candidates will be required to appear in a written examination. After clearing written test candidates will go through an interview and group discussion round.  </span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span>
<span style="font-family: Arial, Helvetica, sans-serif;">The written exam for both the posts above mentioned will be held on same day as per the following schedule</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">1. For MT (Technical) - in the Forenoon session  </span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">2. For MT (Admin) - in the Afternoon session</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span>
<span style="font-family: Arial, Helvetica, sans-serif;">Candidates can apply and compete for both the post of management trainee.</span><br />
<h3 style="background-color: white; font-size: 13px; padding: 10px 0px; text-align: left;">
SAIL MT EXAM PATTERN:</h3>
<table border="1" style="background-color: white; border-collapse: collapse; border-spacing: 0px; border-width: 2px; color: black; font-size: 13px; margin: 0px; padding: 0px;"><tbody style="margin: 0px; padding: 0px;">
<tr style="margin: 0px; padding: 0px;"><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Part</span></strong></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Subject</span></strong></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Max. Marks</span></strong></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Time Allotted</span></strong></td></tr>
<tr style="margin: 0px; padding: 0px;"><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">01</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">Domain knowledge test</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">100</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">75 min.</span></strong></td></tr>
<tr style="margin: 0px; padding: 0px;"><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="font-family: Arial, Helvetica, sans-serif;">02</span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="font-family: Arial, Helvetica, sans-serif;">Aptitude test<br style="margin: 0px; padding: 0px;" />Part A- Quantitative Aptitude (25 marks)<br style="margin: 0px; padding: 0px;" />Part B- Verbal ability (25 marks)<br style="margin: 0px; padding: 0px;" />Part C- Reasoning (25 marks)<br style="margin: 0px; padding: 0px;" />Part D- General awareness (25 marks)</span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><span style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">100</span></span></td><td style="border-width: 1px; margin: 0px; padding: 2px 4px; vertical-align: top;"><strong style="margin: 0px; padding: 0px;"><span style="font-family: Arial, Helvetica, sans-serif;">75 min.</span></strong></td></tr>
</tbody></table>
<h3>
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span><span style="font-family: Arial, Helvetica, sans-serif;">SAIL MT ADMIN MATERIAL/OPERATIONS SYLLABUS:</span></h3>
<div>
<ul style="text-align: left;">
<li><span style="font-family: Arial, Helvetica, sans-serif;">Operation Research</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Project Management</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Management Control Systems</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Production & Operations Management</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Team Building in Organization</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Management Process & Organizational Behaviour</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Total Quality Management</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Statistical Quality Control</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Six Sigma Metrics</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Inventory Management</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Material Management</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Plant Location & Layout</span></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;">Product Management</span></li>
</ul>
</div>
</div>

HOME SAIL MT ADMIN SAIL Management Trainee Recruitment 2014 - Syllabus and Exam Pattern

Exam Pattern of SAIL Management Trainee Recruitment Eligible candidates will be required to appear in a written examination. After clear...

BPMN Modelling Elements

1:14 PM Sailaja K 12

<div dir="ltr" style="text-align: left;" trbidi="on">
<h2 style="text-align: left;">
<b>Basic BPMN Modelling Elements</b></h2>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiniYRe9YVyZ8ok7UpLtY0GeAWJI2jBZFn1OkRdQen3gV173aSX8xl8DLXMOFfgoSkvyaiXLCgtikL8BzDB7hbV4nthf6KC6N4v84004xEBjsEAg9u8IripenTY_wQVzxQM8te-RIYfX4g/s1600/6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="112" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiniYRe9YVyZ8ok7UpLtY0GeAWJI2jBZFn1OkRdQen3gV173aSX8xl8DLXMOFfgoSkvyaiXLCgtikL8BzDB7hbV4nthf6KC6N4v84004xEBjsEAg9u8IripenTY_wQVzxQM8te-RIYfX4g/s1600/6.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdW1w1RymwUh11GnypxBvFuiNLiiG4R1DHW3SQ0Iw96oNJ7gXXegtP9vZf1c1ofqi2TLjVBSsAMfSRiouBphObWzbA4s__ve4RQqr_sSAzvqk3RRnX3wlx3tkXw5M9WK6llub-Ar-j_mc/s1600/7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdW1w1RymwUh11GnypxBvFuiNLiiG4R1DHW3SQ0Iw96oNJ7gXXegtP9vZf1c1ofqi2TLjVBSsAMfSRiouBphObWzbA4s__ve4RQqr_sSAzvqk3RRnX3wlx3tkXw5M9WK6llub-Ar-j_mc/s1600/7.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnS3AqZXQ34UWnmGE7L5XHWiEV5ocy4mLdmb2-T3I_cmb9EM0fx8csfe9BCM6py0oeYpkYJbc4MRecXkBFtxLVcU5XHWjc0giRKIYcirq-TijD8g6MoX6tj_eLEHpPdvii-NhBHgqoFHw/s1600/8.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="349" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnS3AqZXQ34UWnmGE7L5XHWiEV5ocy4mLdmb2-T3I_cmb9EM0fx8csfe9BCM6py0oeYpkYJbc4MRecXkBFtxLVcU5XHWjc0giRKIYcirq-TijD8g6MoX6tj_eLEHpPdvii-NhBHgqoFHw/s1600/8.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_zd-oKDUnHVV9QydR1JFObfCD3zc2Gcfx6VQByALvfdi70F0qqkEbji6rmTH5OZJThhKJmpgipeUj0U6Z1HUzxMDDp3zuhc115nsr7H1jK2UoZsRCSzuIFfMREkf5VJKvtDVev2KsQhg/s1600/9.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="388" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_zd-oKDUnHVV9QydR1JFObfCD3zc2Gcfx6VQByALvfdi70F0qqkEbji6rmTH5OZJThhKJmpgipeUj0U6Z1HUzxMDDp3zuhc115nsr7H1jK2UoZsRCSzuIFfMREkf5VJKvtDVev2KsQhg/s1600/9.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMTNa1FLcv8hPVJMtmmXG_euWVqM2XgPqV23qEErqxZoY0Pc-6ep7VWBuAIK2G1Pt2nepjDmgIQWwHK4cI4UktsY6sJU-NkgLLTTOwn4UcX5NWyx3FO5WAq0B1s0QuqANPddR2h4dd3fE/s1600/10.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="392" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhMTNa1FLcv8hPVJMtmmXG_euWVqM2XgPqV23qEErqxZoY0Pc-6ep7VWBuAIK2G1Pt2nepjDmgIQWwHK4cI4UktsY6sJU-NkgLLTTOwn4UcX5NWyx3FO5WAq0B1s0QuqANPddR2h4dd3fE/s1600/10.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilfMZrtnNMOATfAIdtaFOFmlvWxmiYpB2kod6uu3iDAjR-med5AvYmAW8GrQc99anKVuUqEt1DjPygOiivF9Mmpz1Rda1tEaPOX9w-e3dLkfxip1P7NY0aYRolWVXHnniFK4uxyzvjMaI/s1600/11.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="326" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilfMZrtnNMOATfAIdtaFOFmlvWxmiYpB2kod6uu3iDAjR-med5AvYmAW8GrQc99anKVuUqEt1DjPygOiivF9Mmpz1Rda1tEaPOX9w-e3dLkfxip1P7NY0aYRolWVXHnniFK4uxyzvjMaI/s1600/11.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhPXuolmZFds6_xv7gDUB3FHJDXMpwgHAuKIlnFhEYWJ9DqXl0r6N-ssic_eZO4CFmIqhqnLRG68aOKpIPdpVwtwc3JZRk4ZNd6Z_NX225NZIyyKKz8FxfvVzl8k91IXMBrlPREFzEqgg/s1600/12.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="399" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhPXuolmZFds6_xv7gDUB3FHJDXMpwgHAuKIlnFhEYWJ9DqXl0r6N-ssic_eZO4CFmIqhqnLRG68aOKpIPdpVwtwc3JZRk4ZNd6Z_NX225NZIyyKKz8FxfvVzl8k91IXMBrlPREFzEqgg/s1600/12.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQJ41cLPyIdnaZt-T48ZVcV_I2_FlIWNmVKzI7ncMJ3qp0SZVuOymcxbIrpwTjKNtxdsDaX6WDn7fJ4hKDsg9aFdIFia_Yo2trSq1jHVplxStA3fpRuNsOFG0vpKx535Se3TjYySprOLQ/s1600/13.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="363" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQJ41cLPyIdnaZt-T48ZVcV_I2_FlIWNmVKzI7ncMJ3qp0SZVuOymcxbIrpwTjKNtxdsDaX6WDn7fJ4hKDsg9aFdIFia_Yo2trSq1jHVplxStA3fpRuNsOFG0vpKx535Se3TjYySprOLQ/s1600/13.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXFZhYW3RyjwDNT6L6KIaNjgR1V9k948gWD6jj2xOhz_g7zWasD2YFgyQaHv2l4UsViNxZNfbIIyWXuPfOB5QRQma0OPhyGFJI_jcrHR_wEvPVhGD2d9D0zEcrHa-ZpTuAFAnA9vFZOVQ/s1600/14.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="321" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXFZhYW3RyjwDNT6L6KIaNjgR1V9k948gWD6jj2xOhz_g7zWasD2YFgyQaHv2l4UsViNxZNfbIIyWXuPfOB5QRQma0OPhyGFJI_jcrHR_wEvPVhGD2d9D0zEcrHa-ZpTuAFAnA9vFZOVQ/s1600/14.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5IYGoOe0Lyw7xIIp7dyyF-uifhDLvqAwcO-RbsAaYiF7j0e6yAg0As2IV7dbqe4WwhxTvo1zeXk-1UjUpgELyn4L_D_S7lqt_nxUXZnX4VKAuaSJECETTgozVVzxSgbwtpz2XO6ymBFQ/s1600/15.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="331" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5IYGoOe0Lyw7xIIp7dyyF-uifhDLvqAwcO-RbsAaYiF7j0e6yAg0As2IV7dbqe4WwhxTvo1zeXk-1UjUpgELyn4L_D_S7lqt_nxUXZnX4VKAuaSJECETTgozVVzxSgbwtpz2XO6ymBFQ/s1600/15.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4ZsVArw5qjjqvi7xqM5ZLPpPN7Dnj-VyQuTgEnDhbPIJEJO5MGNhJo53mxaMTK9WNNDQsrEgvj4Speo6_fU9a5XZwZIgw4WZyvdeu_6rs_NfcE0nl_z97qxU8HTF63DpNr3fHxAXc6WI/s1600/16.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="339" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4ZsVArw5qjjqvi7xqM5ZLPpPN7Dnj-VyQuTgEnDhbPIJEJO5MGNhJo53mxaMTK9WNNDQsrEgvj4Speo6_fU9a5XZwZIgw4WZyvdeu_6rs_NfcE0nl_z97qxU8HTF63DpNr3fHxAXc6WI/s1600/16.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4exN31ZRtZSjKqeWDWxKxMpDPPFRHu5_2m_FIIiEQ2Du1m4Oi_d2h5zyB-lDkbz3z9Q303fpufISjdmct1dtDe5oLfP8eWEheOFw8cSAHHQStqUeP_Dm4z_SsRVrBAcJXHNvNQ0SUnvU/s1600/17.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="350" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4exN31ZRtZSjKqeWDWxKxMpDPPFRHu5_2m_FIIiEQ2Du1m4Oi_d2h5zyB-lDkbz3z9Q303fpufISjdmct1dtDe5oLfP8eWEheOFw8cSAHHQStqUeP_Dm4z_SsRVrBAcJXHNvNQ0SUnvU/s1600/17.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkGPJd_C_VzOSRn_2gn8Q65mtF_U3AW7Ys7PkwZcnukqq6Esv8XVhS317CwO9VCOpancb9FFlReLjtKlnQV_JZmgZAyGfO2sWKcmhNOMWGsJoGPceA5m1wpv4jlWehI7dYUSqNCcdNpLo/s1600/18.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="398" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkGPJd_C_VzOSRn_2gn8Q65mtF_U3AW7Ys7PkwZcnukqq6Esv8XVhS317CwO9VCOpancb9FFlReLjtKlnQV_JZmgZAyGfO2sWKcmhNOMWGsJoGPceA5m1wpv4jlWehI7dYUSqNCcdNpLo/s1600/18.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0ARiPaxv50GvKXSdYuTFYhee7yOxKzJtxgpaCCUBpy-plAwsq2Ldlm4CofzI-Ayx8HPpm0hXrpjilKswjnQT2cyQQsizaawPaGxYiKHkmCB4ahnsriQjB7xLDjS7AJ1AqghXE2yDGB7U/s1600/19.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="322" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0ARiPaxv50GvKXSdYuTFYhee7yOxKzJtxgpaCCUBpy-plAwsq2Ldlm4CofzI-Ayx8HPpm0hXrpjilKswjnQT2cyQQsizaawPaGxYiKHkmCB4ahnsriQjB7xLDjS7AJ1AqghXE2yDGB7U/s1600/19.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlKIw0KGxXUTiprJ_Eulz76ygsTXv9VnqdlWjlo4bmfSEbZncGo6ECzf9TW8xp_-RQklPM5LVh6hyphenhyphen-2uOaW3roMtQJ_ufLI1yZa26tKuduOAgSyXTdsYrOpTulVbAx3hiFjs0WyshSvy8/s1600/20.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="392" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlKIw0KGxXUTiprJ_Eulz76ygsTXv9VnqdlWjlo4bmfSEbZncGo6ECzf9TW8xp_-RQklPM5LVh6hyphenhyphen-2uOaW3roMtQJ_ufLI1yZa26tKuduOAgSyXTdsYrOpTulVbAx3hiFjs0WyshSvy8/s1600/20.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqIhPH-Gb1UsYep2MUQ3QRZ8EmVNROIV3syoWZG4ZUcAZeJjPPyQsf8BCYP6s7FMdyw02KS7JYP5ZKO3nOZCMKJaNM_f-EQVslIQt4nt9A-lzidHUydIMBYzV8ufz36AqK2h82NS2tYhc/s1600/21.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="377" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqIhPH-Gb1UsYep2MUQ3QRZ8EmVNROIV3syoWZG4ZUcAZeJjPPyQsf8BCYP6s7FMdyw02KS7JYP5ZKO3nOZCMKJaNM_f-EQVslIQt4nt9A-lzidHUydIMBYzV8ufz36AqK2h82NS2tYhc/s1600/21.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuFS_jyvvdnhr4AN56Oz5rkoS9EXLEL8lqfgpoEWw2o8qstYnJjRW4jSy2cgsK-It3YBtp-bviH8cGCLoecuBWewSnRbwhCr9yV1Xe_sdgd4ZGbP_AwpIXavOHRSStjoDODADT28IlQv0/s1600/22.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="379" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuFS_jyvvdnhr4AN56Oz5rkoS9EXLEL8lqfgpoEWw2o8qstYnJjRW4jSy2cgsK-It3YBtp-bviH8cGCLoecuBWewSnRbwhCr9yV1Xe_sdgd4ZGbP_AwpIXavOHRSStjoDODADT28IlQv0/s1600/22.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_b7qG-1XkWRvHugk63yY_fOAmMCKwsAqAq3lxVVT7G03uezBMB-WPZ8-Xw0fDc0ZVCWB8o_2OgK-eg9UhYxcHQTRkytAbWcXSMkpdGrE4jEelmg4WV8XtWYSiTBPsvgFTYl8S9frllcI/s1600/23.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="378" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_b7qG-1XkWRvHugk63yY_fOAmMCKwsAqAq3lxVVT7G03uezBMB-WPZ8-Xw0fDc0ZVCWB8o_2OgK-eg9UhYxcHQTRkytAbWcXSMkpdGrE4jEelmg4WV8XtWYSiTBPsvgFTYl8S9frllcI/s1600/23.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpLQVOrFkQSHl5R_OdRBGOMakR9-TeK4bSbYDHdJWw9lZPACCC1w9A_GZ0ziapf_BHukz5dI7DD-6weQeWjUdJwxsrAzTzwEg4b0HZAiA2orSDE5Z0ZnJAxNxrkNJKicdEbSdHIcymADs/s1600/24.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="274" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpLQVOrFkQSHl5R_OdRBGOMakR9-TeK4bSbYDHdJWw9lZPACCC1w9A_GZ0ziapf_BHukz5dI7DD-6weQeWjUdJwxsrAzTzwEg4b0HZAiA2orSDE5Z0ZnJAxNxrkNJKicdEbSdHIcymADs/s1600/24.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAOzwWr7w2lVXMWF5t_OHhZktMg_gZwaeqReQ54xMUUWTx-DnH0cpQ-VIxCgY2tPDTDr-igC9xoX3K0ehRIrK_NMHT-bKZbmm8sKMq88UU_Ildd2PwyHVb9ts1m3Rp2pgr0GSh3GKi7LQ/s1600/25.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="361" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAOzwWr7w2lVXMWF5t_OHhZktMg_gZwaeqReQ54xMUUWTx-DnH0cpQ-VIxCgY2tPDTDr-igC9xoX3K0ehRIrK_NMHT-bKZbmm8sKMq88UU_Ildd2PwyHVb9ts1m3Rp2pgr0GSh3GKi7LQ/s1600/25.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm27_ogDZ7iiw-U-rwCI6UaQQLIJ9xJ7ybyDQWN8b8tJXqRjnDmKq2yP9xwn0Ci15Ey89Ic5cTlDDL9Jf8wRzWT1EtRP9I7M5EnHrjpvF_10-ENERfR5Mbv99T7CcfPGFoy6b2cdv81Y4/s1600/26.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="377" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm27_ogDZ7iiw-U-rwCI6UaQQLIJ9xJ7ybyDQWN8b8tJXqRjnDmKq2yP9xwn0Ci15Ey89Ic5cTlDDL9Jf8wRzWT1EtRP9I7M5EnHrjpvF_10-ENERfR5Mbv99T7CcfPGFoy6b2cdv81Y4/s1600/26.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVy4Z3AwWvJfVproKqiHHoBJC8YQpd2lXYiS_auXjkBz-ZIfNFeqx-RbUQG9ZEGGjj9Nz5m4US9_9wO7LQWfk5svnMBc-FHVSO81HfkILFAwsrktXcNicJ0xWpKZFUbFr1n-Vb_3B0O8o/s1600/27.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="421" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVy4Z3AwWvJfVproKqiHHoBJC8YQpd2lXYiS_auXjkBz-ZIfNFeqx-RbUQG9ZEGGjj9Nz5m4US9_9wO7LQWfk5svnMBc-FHVSO81HfkILFAwsrktXcNicJ0xWpKZFUbFr1n-Vb_3B0O8o/s1600/27.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGIa2eMNiqu5QuBX2e9_wj4_WqQeKsk0pKCyTc_x7capYcid9PIs47U4b5HAV2sXd8DG_jicyFCqvcqTqTOeDrXTVp9pPqHMU0XSnviiVauJFpTVrucefafaqzPz4puK4eM3FCf1bnFxw/s1600/28.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="319" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGIa2eMNiqu5QuBX2e9_wj4_WqQeKsk0pKCyTc_x7capYcid9PIs47U4b5HAV2sXd8DG_jicyFCqvcqTqTOeDrXTVp9pPqHMU0XSnviiVauJFpTVrucefafaqzPz4puK4eM3FCf1bnFxw/s1600/28.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGbwfQtphFcI8xY7Evb-FZD9xsvdFYeJa582KnrLJe402Ze3OrU6sG64-lPG692RiNWljb9wlUtp4WQqwLn_sc_ZrmIaK0rHYEWUbBXA5b5HpU2bvea1MvrTKv4A44PfhDxZcOj_Uu0G0/s1600/29.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="375" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGbwfQtphFcI8xY7Evb-FZD9xsvdFYeJa582KnrLJe402Ze3OrU6sG64-lPG692RiNWljb9wlUtp4WQqwLn_sc_ZrmIaK0rHYEWUbBXA5b5HpU2bvea1MvrTKv4A44PfhDxZcOj_Uu0G0/s1600/29.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQdlgn6cuJw0yAHMMlsQa60QUcb3yjLSw5u3g-PIolNsVsDxesGUBLKtkFhWenSU07SwaVsd3LiWmRhIPjaZtpCZv2iiyh-kmXpfJijdMes7mNtwuLTWVaPKx3ukS_M0O8BjyyFtYpYNc/s1600/30.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="306" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQdlgn6cuJw0yAHMMlsQa60QUcb3yjLSw5u3g-PIolNsVsDxesGUBLKtkFhWenSU07SwaVsd3LiWmRhIPjaZtpCZv2iiyh-kmXpfJijdMes7mNtwuLTWVaPKx3ukS_M0O8BjyyFtYpYNc/s1600/30.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGtQhy0iFXcKyi_FEG7YEJdoX1Ll3sNixobqPgNi-mDfHww0tEXI-3VAEy0YlmkCVkDG7eVmvL-RGmr6qnBpJWttr6PRbOKazf9tkeeB0ectwn5Qeaue-Jxk3wsAVp1frW8QOCkCMkHko/s1600/31.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="356" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGtQhy0iFXcKyi_FEG7YEJdoX1Ll3sNixobqPgNi-mDfHww0tEXI-3VAEy0YlmkCVkDG7eVmvL-RGmr6qnBpJWttr6PRbOKazf9tkeeB0ectwn5Qeaue-Jxk3wsAVp1frW8QOCkCMkHko/s1600/31.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1egyPHP5exZ4KVWKG57InWxnAmdEBdb8RWJCqToM8gbvIKeR5LKl7hKfhErq-wsUKH2QvP7QBW0KiVsRbaay_uLDPLf1mrMIJcUVNSN0MCpBjlZgsoF9WgmOHLjTGmUY3uXImUygow3g/s1600/32.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="370" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1egyPHP5exZ4KVWKG57InWxnAmdEBdb8RWJCqToM8gbvIKeR5LKl7hKfhErq-wsUKH2QvP7QBW0KiVsRbaay_uLDPLf1mrMIJcUVNSN0MCpBjlZgsoF9WgmOHLjTGmUY3uXImUygow3g/s1600/32.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-OCZZ1v8s8XhOfstt3RZcezHC3grFsj5ohdCxk6yviR8Tpi0dHok4T7sNMi41tNFa6USuamjn-nEWGRcCx3ceKZOYAZT66ZgN31Q1UOt2xUfAMMPEJnMg-mru4B-2bJsrGHLuknRnPC4/s1600/33.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="414" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-OCZZ1v8s8XhOfstt3RZcezHC3grFsj5ohdCxk6yviR8Tpi0dHok4T7sNMi41tNFa6USuamjn-nEWGRcCx3ceKZOYAZT66ZgN31Q1UOt2xUfAMMPEJnMg-mru4B-2bJsrGHLuknRnPC4/s1600/33.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0sPp-hcSKLXUHNu5HGsOL31U-Tb729FLztE6tTbz7Wh89TmBiJZpwqZZcCy1RPSqrWcjbtRMq3x6fAXOhpKqKlJbBYQWcIa_XgzoTHz8zu6O9pVRBeQEG9JI-gPn6BY_TQPcPs8g-6ec/s1600/34.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="377" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0sPp-hcSKLXUHNu5HGsOL31U-Tb729FLztE6tTbz7Wh89TmBiJZpwqZZcCy1RPSqrWcjbtRMq3x6fAXOhpKqKlJbBYQWcIa_XgzoTHz8zu6O9pVRBeQEG9JI-gPn6BY_TQPcPs8g-6ec/s1600/34.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKIUbpjC2LPLQRItxpJ7fQC4jzXr7gb5I4Mv6Xn40nVBtsB4pLF9cWAEE2e3qRuUNQuMSQO2Ny2rYoPBqLcRhYddxC4hNWfEl0ggSd9cuKk0sQ5Otx6l0hc2sKbCF-PD0n1k4W7WHRa38/s1600/35.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="305" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKIUbpjC2LPLQRItxpJ7fQC4jzXr7gb5I4Mv6Xn40nVBtsB4pLF9cWAEE2e3qRuUNQuMSQO2Ny2rYoPBqLcRhYddxC4hNWfEl0ggSd9cuKk0sQ5Otx6l0hc2sKbCF-PD0n1k4W7WHRa38/s1600/35.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghAxwST3SXJNTTsiq-nN4a28ecmaziYGWMtgnJChWRwH3Pbbg5yKw8gt8ZSOEOm7hIV2jENO8wYKu75oZKc80gDyEzWd5l125sHrntvbP47jxqj3mB76TFGMMdUyMWUr8O-uWE4AqMYIk/s1600/36.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="372" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghAxwST3SXJNTTsiq-nN4a28ecmaziYGWMtgnJChWRwH3Pbbg5yKw8gt8ZSOEOm7hIV2jENO8wYKu75oZKc80gDyEzWd5l125sHrntvbP47jxqj3mB76TFGMMdUyMWUr8O-uWE4AqMYIk/s1600/36.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi3ZOnkHK5hNA2uWEyokgBZoMvrGH49ttVika7K1VcTfrmqsBdaEM9qpe5JyQEJCwrLdfSdDFiZk3mLf3KuPrsmP6cy2jKIlyI4OFij7MDwwwb2L8W8nnhDzzlnnPiFt27sSsF5UunxaI/s1600/37.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="232" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgi3ZOnkHK5hNA2uWEyokgBZoMvrGH49ttVika7K1VcTfrmqsBdaEM9qpe5JyQEJCwrLdfSdDFiZk3mLf3KuPrsmP6cy2jKIlyI4OFij7MDwwwb2L8W8nnhDzzlnnPiFt27sSsF5UunxaI/s1600/37.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb0cP2F4t2HZw2Khkcg58XsuQ1qZfCDRskq6Sv7-CfUv6JaivX_8XCH4Jlztw97MxqjpgK8ue6ue6aGtF9NeQaNuWU-wzZD-mXQsKjX35yfZSeJ_PxhU0E1aRKWINA9wgdI5-UiMhQpkE/s1600/38.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="404" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhb0cP2F4t2HZw2Khkcg58XsuQ1qZfCDRskq6Sv7-CfUv6JaivX_8XCH4Jlztw97MxqjpgK8ue6ue6aGtF9NeQaNuWU-wzZD-mXQsKjX35yfZSeJ_PxhU0E1aRKWINA9wgdI5-UiMhQpkE/s1600/38.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIxP9sDRtsGXe4-0Wp4eHc_D-T2Go2MYq2Q_a_IMSSQ4b_hYLgXZ3T2_E7sjT2Hn1lj9Z767D1WaUllHqhnx9d4-_c4lX-HKBYtmQlC17o7wn_1uipSxdme6soxCE11ke_4sot-pr_-28/s1600/39.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="394" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIxP9sDRtsGXe4-0Wp4eHc_D-T2Go2MYq2Q_a_IMSSQ4b_hYLgXZ3T2_E7sjT2Hn1lj9Z767D1WaUllHqhnx9d4-_c4lX-HKBYtmQlC17o7wn_1uipSxdme6soxCE11ke_4sot-pr_-28/s1600/39.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDb3OzPwqnc4j_QxRvr8Qfvytflab-tLVuewQM2fVZR8pS-NftYVddSYk87oe2g-4usdIjFjKIrf1EGfojfEGt2uJJR9gMBLM83_FhRuCCHY9g0bZ2EbDTqHFkQrgbZKdUKItwRdRLnMQ/s1600/40.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="282" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDb3OzPwqnc4j_QxRvr8Qfvytflab-tLVuewQM2fVZR8pS-NftYVddSYk87oe2g-4usdIjFjKIrf1EGfojfEGt2uJJR9gMBLM83_FhRuCCHY9g0bZ2EbDTqHFkQrgbZKdUKItwRdRLnMQ/s1600/40.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7yrQ5gnpLpfEg4eDqgygWFYfSEOqGMy47RFGYokroojUE_OQcXJvKeyR2CV-Oq5DetwmQioaVCBjVwsXrW8unaERvj1_qPxNfGTrGKWHGnSTsUEo_Hk-Dve60o6ApHHqoNsThVTWDEf8/s1600/41.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="372" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7yrQ5gnpLpfEg4eDqgygWFYfSEOqGMy47RFGYokroojUE_OQcXJvKeyR2CV-Oq5DetwmQioaVCBjVwsXrW8unaERvj1_qPxNfGTrGKWHGnSTsUEo_Hk-Dve60o6ApHHqoNsThVTWDEf8/s1600/41.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTo_-9b-6vpaphYwxdhC1dVvBlEcf-klVT8M9Wf5EN-fHWzeuie9udCwRfs-TgbDmF6Mqa5kZ1Rr5lyMSEuAwTEswebfdrPuB1EQ680YCOLzPlodL4Kzf3E1myzMbYlpB_eoYjQsv99Gs/s1600/42.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="409" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTo_-9b-6vpaphYwxdhC1dVvBlEcf-klVT8M9Wf5EN-fHWzeuie9udCwRfs-TgbDmF6Mqa5kZ1Rr5lyMSEuAwTEswebfdrPuB1EQ680YCOLzPlodL4Kzf3E1myzMbYlpB_eoYjQsv99Gs/s1600/42.jpg" width="640" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVfDLS63hCqugNE28N7SOvgNL9R0_W6R2FtJnn7uM0MudZqtSLMULpOxisTyeBdIrZnJGNf4qYICi_KIBdPZPIkQtTul5W-p7CHdKWFTf_Uog4qs6J4MlCYWdacBK7S2q58qBQ9xwwZjE/s1600/43.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="397" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhVfDLS63hCqugNE28N7SOvgNL9R0_W6R2FtJnn7uM0MudZqtSLMULpOxisTyeBdIrZnJGNf4qYICi_KIBdPZPIkQtTul5W-p7CHdKWFTf_Uog4qs6J4MlCYWdacBK7S2q58qBQ9xwwZjE/s1600/43.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEid9Lzm6kxD6tWx4At4ufYNSIoy0eoP2EQkEDVMwc9UMcJS5-zHBkkEnLNzrXz3JehJfruC_cbwW-UP9sDPuWM_vEBDwg374aJbHWECNktKTL4BvAgmx2vOXh00FL6eILs3so7K5Qy54Kg/s1600/44.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="404" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEid9Lzm6kxD6tWx4At4ufYNSIoy0eoP2EQkEDVMwc9UMcJS5-zHBkkEnLNzrXz3JehJfruC_cbwW-UP9sDPuWM_vEBDwg374aJbHWECNktKTL4BvAgmx2vOXh00FL6eILs3so7K5Qy54Kg/s1600/44.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGQvSo6mv_wrLxay0VPCAhUBUaSPJMEv3CqG21gxYSA8REXMBP6MhHQdREDt3dQ5NVHlTxEgIH_u3lLvTNSP3yxrDTsO_gC4vs6fGUc2Dc-WK3zBVpGsW5wCxyjl5lN9_MMbuyONdORig/s1600/45.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="375" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGQvSo6mv_wrLxay0VPCAhUBUaSPJMEv3CqG21gxYSA8REXMBP6MhHQdREDt3dQ5NVHlTxEgIH_u3lLvTNSP3yxrDTsO_gC4vs6fGUc2Dc-WK3zBVpGsW5wCxyjl5lN9_MMbuyONdORig/s1600/45.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguXUf6FDKL7jWXGepAkR-EKJR7S38bgbVxtKG1fYdlK7uA2KmaaXc3oAAJpbzoIi8hJC4rerieqI2Cl8nFoAINLb78MNkjJFmNvuxdMhbbkFNEOhSF_vYVT9J_Pjpe8Wlvag8-lfArpm8/s1600/46.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="407" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguXUf6FDKL7jWXGepAkR-EKJR7S38bgbVxtKG1fYdlK7uA2KmaaXc3oAAJpbzoIi8hJC4rerieqI2Cl8nFoAINLb78MNkjJFmNvuxdMhbbkFNEOhSF_vYVT9J_Pjpe8Wlvag8-lfArpm8/s1600/46.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwyVaGTG4PFBwA9C-0bW0A0LGx3QQ5ksYT5HpKdM0BzpyUZcM3vhKFRVkxNZIgo_OjIeheeM8gsRqVttJIldzrarSt5N6ow2jnzdPO0briKieCyZSNwQ7-T0LDQM3k16ygQZEkvBBfjhM/s1600/47.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="348" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwyVaGTG4PFBwA9C-0bW0A0LGx3QQ5ksYT5HpKdM0BzpyUZcM3vhKFRVkxNZIgo_OjIeheeM8gsRqVttJIldzrarSt5N6ow2jnzdPO0briKieCyZSNwQ7-T0LDQM3k16ygQZEkvBBfjhM/s1600/47.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAtRz1ApaUN_UqXZ3HaUs7J06PsFPeof9NFUSxQGRcEeQLVfJQgFp6KyeiIC-or1wUycdEFWX9N7nqtswrgIYI3aAaSvY7K7ggJQzLg8A8EnPGZedn_KMPeBo930232EIChqndjpA0h9c/s1600/48.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="318" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAtRz1ApaUN_UqXZ3HaUs7J06PsFPeof9NFUSxQGRcEeQLVfJQgFp6KyeiIC-or1wUycdEFWX9N7nqtswrgIYI3aAaSvY7K7ggJQzLg8A8EnPGZedn_KMPeBo930232EIChqndjpA0h9c/s1600/48.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiA6gcaB5X70vw7ATTbDwcL7dDOYSrwtyTU4NoNMfW6VxHU_dAFTJkawLn-koovYhQWOH-yVRvgl7gXD2Ygz9STuioKAj4uOsfgzD0olvk-eaTgS5F-0_xzqS-jttGhiukF6Ynhmz9MgQA/s1600/49.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="451" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiA6gcaB5X70vw7ATTbDwcL7dDOYSrwtyTU4NoNMfW6VxHU_dAFTJkawLn-koovYhQWOH-yVRvgl7gXD2Ygz9STuioKAj4uOsfgzD0olvk-eaTgS5F-0_xzqS-jttGhiukF6Ynhmz9MgQA/s1600/49.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBW3TlcL_3wuD2DM5aPQco-Lvrsh9EwfzFtobNMaAz8e7ujJALZYosZKnvcFFUvjsAfvKDuszcSUogwj6orMvqAZm9pN2GgvXaCM0pnxYXZZ3n2L8c-h17KjHW_6IOMD6jHphtXZ4N8SM/s1600/50.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBW3TlcL_3wuD2DM5aPQco-Lvrsh9EwfzFtobNMaAz8e7ujJALZYosZKnvcFFUvjsAfvKDuszcSUogwj6orMvqAZm9pN2GgvXaCM0pnxYXZZ3n2L8c-h17KjHW_6IOMD6jHphtXZ4N8SM/s1600/50.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLINr9Wv1Eb9QN-bUNVXXkUTLj5EM96CiQWOQNN8Wq9_yTy5tRYJKJU5g-p8mTcvpwSdjAL13iBaLeWN2L4Fyxq5wiJPtb486di-J1JSZexJ_Pg-DfSzzKFNgSzpbhy8cdq94FydzbPwQ/s1600/51.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="409" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLINr9Wv1Eb9QN-bUNVXXkUTLj5EM96CiQWOQNN8Wq9_yTy5tRYJKJU5g-p8mTcvpwSdjAL13iBaLeWN2L4Fyxq5wiJPtb486di-J1JSZexJ_Pg-DfSzzKFNgSzpbhy8cdq94FydzbPwQ/s1600/51.jpg" width="640" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhMOwsWzHV8HxeVwjGtAD0C3LUYFQkcY0nQeMiT2E2_WPQHAq27CYmVCN4o3c4Cm_n9Z837SvItzCbMQ3jwnhst30cfK8C44G-jcmdahhDVG9ARcNmvxyypMs5_REI1W0u1RHyARYNSUQ/s1600/52.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="385" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhMOwsWzHV8HxeVwjGtAD0C3LUYFQkcY0nQeMiT2E2_WPQHAq27CYmVCN4o3c4Cm_n9Z837SvItzCbMQ3jwnhst30cfK8C44G-jcmdahhDVG9ARcNmvxyypMs5_REI1W0u1RHyARYNSUQ/s1600/52.jpg" width="640" /></a></div>
<br /></div>

HOME IBM BPM BPMN Modelling Elements

Basic BPMN Modelling Elements ...

Operation Research MCQ for SAIL MT Materials

SAIL Management Trainee Recruitment 2014 - Syllabus and Exam Pattern

BPMN Modelling Elements

Popular Posts

Blog Archive