Question: A project network is shown in the figure. A project network with 11 activities and 15 directed arcs is shown. Activity Start is connected to
A project network is shown in the figure.
A project network with 11 activities and 15 directed arcs is shown.
- Activity Start is connected to activity A, to activity B, and to activity C.
- Activity A is connected to activity D and to activity G.
- Activity B is connected to activity D and to activity E.
- Activity C is connected to activity E.
- Activity D is connected to activity F.
- Activity E is connected to activity H.
- Activity F is connected to activity G and to activity H.
- Activity G is connected to activity I.
- Activity H is connected to activity I.
- Activity I is connected to activity Finish.
- Activity Finish has no arcs directed to other activities.
Activities A-I have numeric values displayed under the Activity label. These values are given below:
- A: 6
- B: 4
- C: 9
- D: 4
- E: 12
- F: 10
- G: 3
- H: 2
- I: 8
Use a forward and a backward pass to determine the critical path, and then fill out the following table. Activity times are in weeks. (For the precedence activities, enter your answers as comma-separated lists. If an activity does not have immediate predecessors, enter NONE.)
| Activity | Precedence Activities | Activity Time (weeks) | ES | LS | EF | LF | Slack | Critical Path? |
|---|---|---|---|---|---|---|---|---|
| A |
| ---Select--- Yes No | ||||||
| B |
| ---Select--- Yes No | ||||||
| C |
| ---Select--- Yes No | ||||||
| D |
| ---Select--- Yes No | ||||||
| E |
| ---Select--- Yes No | ||||||
| F |
| ---Select--- Yes No | ||||||
| G |
| ---Select--- Yes No | ||||||
| H |
| ---Select--- Yes No | ||||||
| I |
| ---Select--- Yes No |
Now assume that the times listed are only the expected times instead of being fixed times. Is the probability of being finished in fewer than 29 weeks more or less than 50%?
The probability is more than 50% because 29 weeks is more than the expected time for the project.The probability is more than 50% because 29 weeks is less than the expected time for the project. The probability is less than 50% because 29 weeks is more than the expected time for the project.The probability is less than 50% because 29 weeks is less than the expected time for the project.
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