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Determine the expected completion time for each of the nine project activities.
Determine the variance for each of the nine project activities
Develop a PERT chart showing the network diagram with the activities and their expected times.
Identify the critical path.
Determine the value of each of the following, showing all of your work or reasoning :-
– slack for project Activity E, showing all of your work or reasoning.
– slack for project Activity C, showing all of your work or reasoning.
– Earliest time for Activity F, showing all of your work or reasoning.
– Latest finish time for project Activity G, showing all of your work or reasoning.
Determine the probability of completing this project in time for the product launch in 48 weeks, showing all of your work.
PERT/CPM Analysis Table 11 Optimistic Time to Complete Probable Time to Pessimistic Time to Complete (weeks) Expected Time to Complete (weeks) Variance Task Preceding Activity(weeks) (weeks) (weeks) START 4.8 14.2 2.4 15 25 43 15 11.4 10.2 1.4 15 30 32 6.9 E, H, F 7.5
Expert Answer
Expected time = (Optimistic time + 4*Probable time + Pessimistic time)/6
Variance = (Pessimistic time – Optimistic time)^2/36
Path & Duration:
| Path | Duration |
| ABDGHI | 45.50 |
| ACDGHI | 37.00 |
| ACEI | 28.50 |
| AFI | 45.00 |
Critical path is path with maximum duration = ABDGHI
