Question: Considering a building project, a project manager has determined that some tasks will be needed to carry out the project. Using the PERT the following

Considering a building project, a project manager has determined that some tasks will be needed to carry out the project. Using the PERT the following estimates as shown in the table.

Task

Durations (days)

Immediate Predecessors

Optimistic Estimate

Pessimistic Estimate

Most Likely Estimate

A

28

36

32

----

B

22

32

28

----

C

26

46

36

A

D

14

18

16

B

E

32

32

32

B

F

40

74

52

B

G

12

24

16

D

H

16

26

20

E,G

I

26

42

34

E, G

J

12

30

16

C,F

Based on the above task list, answer the following questions:

  1. Draw the network representing the project? (3 marks)
  2. What is the shortest time to complete the project? (3 marks)
  3. What is the probability of completing the project in 100 weeks? (2 marks)
  4. Find the slacks for each activity? (2 marks)

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