Answer to Question #237103 in Operations Research for opr

Question

A small project is composed of 8 activities whose time estimates are listed below

Activity Time in weeks

i j Optimistic(a) Most likely(M) Pessimistic(b)

A 1 2 2 5 8

B 2 3 4 7 10

C 2 4 4 9 11

D 3 5 6 10 20

E 4 6 1 3 5

F 4 5 3 6 9

G 5 7 4 5 12

H 6 7 6 8 10

i) Develop a PERT network for the project .

ii) Determine the expected value and the variance for every activity.

iii) Calculate EST and LCT for every node.

iv) Find the critical path for the project .

v) Compute the probability of completing the project in 36 weeks .

Answer 1

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