Assignment on the PERT$$Method

Consider the following project network data below and answer the questions that follow the data.

A B C D E F

START FINISH

G H I J K L

Activity Minimum Duration

$($in weeks$)$

Most Likely Duration

$($in weeks$)$

Maximum Duration

$($in weeks$)$

A $234$

B $234$

C $234$

D $234$

E $234$

F $234$

G $222$

H $135$

I $135$

J $135$

K $135$

L $135$

$1.$ What is the expected completion time of this project according to the PERT method?

$2.$ What is the PERT$$critical path?

$3.$ What is the probability $($according to PERT$)$ that this project will be completed by $20$ weeks?

$[$Use the z$$tables for this question.$]$

$4.$ In the file GJ$$PERT$$Simulation$.$xls $($downloadable from this folder$),$ one thousand scenarios of

the activity times of A$,$ B$,...,$ L have been generated. Calculate the project duration in each of

these $1000$ scenarios and find out the probability that the project will be completed by $20$ weeks

based on these scenarios