Question: 6. A company wants to plan a project using PERT to modify one of their products which has poor sales. They have determined the following

6. A company wants to plan a project using PERT to modify one of their products which has poor sales. They have determined the following activities, precedence relationships and time estimates in weeks for the project:

Most

Immediate Optimistic Likely Pessimistic

Activity Predecessors to tm tp

a - 4 6 7

b a 1 2 3

c a 5 5 5

d b 7 9 12

e b 2 4 8

f c,d 6 9 10

a. Find the critical path.

b. What is the probability that the project will take longer than 28 weeks to complete?

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