For the following project $($time in days$),$

a$)$ Draw the PERT Network.

b$)$ Determine the critical path and the completion time.

c$)$ Determine slack time for activities, A$,$ C and E$.$

d$)$ Find the probability to complete this project within $218$days.

Activity

Immediate Predecessor

Optimistic Estimate

Most Likely Estimate

Pessimistic Estimate

A

$-$

$30$

$50$

$70$

B

$-$

$80$

$90$

$100$

C

$-$

$85$

$100$

$115$

D

A

$19$

$25$

$31$

E

B

$91$

$100$

$115$

F

G

D

E$,$F

$52$

$12$

$55$

$15$

$58$

$18$

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