Question: a) Compare the project evaluation and review technique (PERT) with the critical path method (CPM). (10 marks) b) ZZ Properties are planning to construct various

a) Compare the project evaluation and review technique (PERT) with the critical path method (CPM). (10 marks)

b) ZZ Properties are planning to construct various types of shop-houses in their housing development area. They are given 42 weeks to complete this project. You are the consultant of the project. You have identified the following project activities.

activity immediate predecessor optimistic time most likely time pessimistic time
A - 6 10 14
B - 8 12 16
C A 5 10 15
D A 9 11 13
E B,C 7 8 9
F B,C 5 7 9
G D,E 6 8 10
H D,E 4 9 14
I F,G 3 5 7

(i) Construct the project network. (4 marks)

(ii) Determine the expected time and variance for each activity. (5 marks)

(iii) Find the critical path, the expected project completion time and the project variance. (6 marks)

(iv) What is the probability that the project will be completed within the given time? (5 marks)

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