Question: A project has been subdivided into five activities. Their immediate predecessors & the estimated activity durations (optimistic, most likely, & pessimistic) are shown in the

A project has been subdivided into five activities. Their immediate predecessors & the estimated activity durations (optimistic, most likely, & pessimistic) are shown in the table below.

Activity

Immediate

Predecessor

Estimated duration

(in days)

A

-

1, 2, 3

B

A

1, 4, 7

C

B

3, 3, 3

D

A, C

1, 2, 15

E

B, C

1, 4, 19

(a) Draw the project network in the AON representation.

(b) Calculate all earliest and latest starting & finishing times & the total floats of all activities. What is the critical path? What is its duration?

(c) Calculate the variance & standard deviation on the critical path.

(d) Calculate the probability that the project will be finished between 12 & 16 days.

(e) What would happen, if the time estimates for activity E were to be revised to 2, 5, 14? Explain in one short sentence. Note: There are no calculations required to answer this subquestion.

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