QUESTION 7Â Â Â [18 MARKS)
In the following table, optimistic,most likely and pessimistic time estimates have been given for eachactivity for a project.
Task | Immediate Predecessor(s) | | Time (days) | |
Optimistic (a) | Most Likely (m) | Pessimistic (b) |
A | None | 5 | 7 | 12 |
B | None | 8 | 8 | 8 |
C | A | 2 | 6 | 10 |
D | A,B | 12 | 14 | 19 |
E | C,D | 6 | 6 | 12 |
F | B,E | 3 | 12 | 18 |
G | F | 6 | 8 | 10 |
- Construct an activity on node network diagram for this project.                           Â
- If the project is due to be completed in 47 days, what is theprobability that this project will be completed on or before thedue date? Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
- If the project manager wants at least a 95% probability thatthe project will be completed on or before the due date, what isthe shortest project time due date that will satisfy themanager?
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