Question: A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each
A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows:
| Activity | Activity Time (weeks) | Probability | ||
| A | 5 | 0.25 | ||
| 6 | 0.35 | |||
| 7 | 0.25 | |||
| 8 | 0.15 | |||
| B | 3 | 0.20 | ||
| 5 | 0.55 | |||
| 7 | 0.25 | |||
| C | 10 | 0.10 | ||
| 12 | 0.25 | |||
| 14 | 0.40 | |||
| 16 | 0.20 | |||
| 18 | 0.05 | |||
| D | 8 | 0.60 | ||
| 10 | 0.40 | |||
Provide the base-case, worst-case, and best-case calculations for the time to complete the project.
| Activity | Base case | Worst case | Best case |
|---|---|---|---|
| A | __weeks | __weeks | __weeks |
| B | __weeks | __weeks | __weeks |
| C | __weeks | __weeks | __weeks |
| D | __weeks | __weeks | __weeks |
| Total | __weeks | __weeks | __weeks |
Use the random numbers 0.1778, 0.9617, 0.6849 and 0.4503 to simulate the completion time of the project in weeks.
| Activity | Random Number | Completion Time |
|---|---|---|
| A | 0.1778 | __weeks |
| B | 0.9617 | __weeks |
| C | 0.6849 | __weeks |
| D | 0.4503 | __weeks |
| Total | __weeks |
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