Activity Table:

Activity

Pessimistic duration

(in days)

Most likely duration

(in days)

Optimistic duration

(in days)

Immediate Predecessors A 1 3 5 - B 3 4.5 9 - C 2 3 4 - D 2 4 6 A,B E 4 7 16 B,C F 1 1.5 5 E G 2.5 3.5 7.5 D H 1 2 3 E I 4 5 6 F,I J 1.5 3 4.5 F,H K 1 3 5 G,I,J

The PERT estimation procedure uses pessimistic, most likely, and optimistic estimates of the activity time to obtain the expected value and the standard deviation for each activity. The standard deviation is required only if the analyst wishes to make probability statements about completing the project by a certain date.

Using the inputs listed above:

1. Create the network diagram using the PERT method to calculate the estimated duration for each activity; (8 marks)
2. Calculate the critical path; (4marks)
3. Calculate the minimum expected time in which the project can be completed; (5 marks)
4. Show slack values for each activity, together with the latest expected time that any activity can start (or finish) without delaying the project; and (8 marks)