Problem #3

You are tasked with managing a project that has the following activities (time is given in weeks)

and precedence relationships:

Optimistic Most Likely Pessimistic Immediate

Activity Time Time Time Predecessors

A 1 4 7

B 2 2 8

C 3 3 9 A

D 1 1 1 B

E 2 2 2 C;D

a. Calculate the expected completion times for each of the project activities.

b. Calculate the variance of the completion times for each of the project activities.

c. Sketch the project activity network.

d. Determine the project critical path.

e. What is the expected project completion time?

f. The project needs to be completed 12 weeks from now. What is the probability this deadline

will be met?