[See Solution] The estimated times and immediate predecessors for the activities in a project at John Black’s company are given in the following table. Assume
Question: The estimated times and immediate predecessors for the activities in a project at John Black’s company are given in the following table. Assume that the activity times are independent. All times are in weeks.
| Activity | Predecessors | Optimistic Time (a) | Most Likely Time (m) | Pessimistic Time (b) |
| A | -- | 2 | 4 | 6 |
| B | -- | 1 | 2 | 9 |
| C | A | 2 | 4 | 6 |
| D | B | 5 | 8 | 17 |
| E | C | 3 | 4 | 11 |
- What is the critical path? You may use any method to determine this.
- What is the expected completion time of the project? What is the expected total work time for this project?
- What is the probability of completing the project in 16 weeks or longer?
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