QUESTION 2

Consider the following network for a small maintenance project (all times are in days)

Activity Immediate Optimistic Most Likely Pessimistic

Predecessor(s) Time (a) Time (m) Time (b

A - 2 3 4

B - 5 6 7

C - 5 6 7

D A 3 4 5

E A 2 3 4

F C 3 4 5

G B, E, F 8 10 16

H D, G 5 6 7

1. Draw an activity network for the project. (6 marks)

2. Calculate the expected completion time (to the nearest day) for each activity. (4 marks)

3. Compile the earliest start, latest start, earliest finish, latest finish activity and slack time using the expected completion time calculated in (b)(i) in a table. (7 marks)

4. State the critical path and minimum completion time ( 3 marks)

5. Calculate the probability that the project will be completed after 30 days (5 marks)

(Total 25 Marks)