Using the information provided in the table, the network diagram and the expected project completion time $=39$ ?weeks:

Activity

Optimistic Time

$($weeks$)$

Most Likely Time

$($weeks$)$

Pessimistic Time

$($weeks$)$

A

$81012$

B

$41016$

C

$456$

D

$6810$

E

$4712$

F

$679$

G

$4812$

H

$333$

A network diagram is shown for activities A to H$.$ ?There are four paths. Path one is A$,$ ?B$,$ ?D$,$ ?F$,$ ?H$.$ ?Path two is A$,$ ?B$,$ ?D$,$ ?G$,$ ?H$.$ ?Path three is A$,$ ?C$,$ ?E$,$ ?G$,$ ?H$.$ ?Path four is A$,$ ?C$,$ ?E$,$ ?F$,$ ?H$.$

The critical path is A$-$B$-$D$-$G$-$H$.$