Question: Considering a building project, a project manager has determined that some tasks will be needed to carry out the project. Using the PERT the following
Considering a building project, a project manager has determined that some tasks will be needed to carry out the project. Using the PERT the following estimates as shown in the table.
| Task | Durations (days) | Immediate Predecessors | ||
| Optimistic Estimate | Pessimistic Estimate | Most Likely Estimate | ||
| A | 28 | 36 | 32 | ---- |
| B | 22 | 32 | 28 | ---- |
| C | 26 | 46 | 36 | A |
| D | 14 | 18 | 16 | B |
| E | 32 | 32 | 32 | B |
| F | 40 | 74 | 52 | B |
| G | 12 | 24 | 16 | D |
| H | 16 | 26 | 20 | E,G |
| I | 26 | 42 | 34 | E, G |
| J | 12 | 30 | 16 | C,F |
Based on the above task list, answer the following questions:
- Draw the network representing the project? (3 marks)
- What is the shortest time to complete the project? (3 marks)
- What is the probability of completing the project in 100 weeks? (2 marks)
- Find the slacks for each activity? (2 marks)
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