# Working of PERT Problems - Operations Management Help

 We offer quality and prompt Operations Management Homework Help We can help you with any kind of Operations Management assignments, homeworks, tests, exams, at any level Including topics such as Forecasting, PERT, Aggregate Planning, Waiting Lines, Network Problems, Linear Programming and Transportation Problems, Inventory, Quality Control and much more.

• Using POM, we get the following results using PERT:

$CT=7+4+5+4=19\text{ days}$ $\sigma =0.78$ $\Pr \left( X>20 \right)=\Pr \left( \frac{X-\mu }{\sigma }>\frac{20-\mu }{\sigma } \right)=\Pr \left( \frac{X-19}{0.78}>\frac{20-19}{0.78} \right)=\Pr \left( Z>1.282 \right)$ $= 0.0999$ $\Pr \left( X\ge 21 \right)=\Pr \left( \frac{X-\mu }{\sigma }\ge \frac{21-\mu }{\sigma } \right)=\Pr \left( \frac{X-19}{0.78}\ge \frac{21-19}{0.78} \right)=\Pr \left( Z\ge 2.564 \right)$ $=0.005172$ $\Pr \left( X<20 \right)=\Pr \left( \frac{X-\mu }{\sigma }<\frac{20-\mu }{\sigma } \right)=\Pr \left( \frac{X-19}{0.78}<\frac{20-19}{0.78} \right)=\Pr \left( Z<1.282 \right)$ $= 0.9$ $\Pr \left( X\le 19 \right)=\Pr \left( \frac{X-\mu }{\sigma }\ge \frac{19-\mu }{\sigma } \right)=\Pr \left( \frac{X-19}{0.78}\le \frac{19-19}{0.78} \right)=\Pr \left( Z\le 0 \right)$ $=0.5$
 Activity Crash Duration Cost Crash Cost / Day A 2 2,000 1,000 B 1 4,000 4,000 C 5 4,500 900 D 2 2,000 1,000 E 2 2,000 1,000 F 5 2,000 400 G 4 3,000 750 H 1 2,500 2,500 I 3 3,000 1,000