project management

Consider a project having the following seven activities, and address the following questions:

Optimistic Most likely Pessimistic

Immediate Time Time Time

Activity Predecessors (weeks) (weeks) (weeks)

A none 2 3 4

B  A 4 4 8

C  A 3 5 7

D  B 5 5 5

E B, C 3 6 7

F  D 4 5 9

G E, F 3 3 7

(a) What is the expected time for each activity?

(b) What is the expected project completion time?

(c) What is the critical path?

(d) What is the variance for each activity?

(e) What are the expected time and variance of each path?

(f) What is the probability that the project will be completed in less than 24 weeks?