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 activity
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: 7
- B: 4
- C: 10
- D: 4
- E: 12
- F: 10
- G: 3
- H: 2
- I: 6
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 than28weeks more or less than 50%?The probability is less than 50% because 28 weeks is more than the expected time for the project.The probability is less than 50% because 28 weeks is less than the expected time for the project. The probability is more than 50% because 28 weeks is more than the expected time for the project.
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