Question: You may need to use the appropriate technology to answer this question. Use the following network with activities and times estimated in days to answer
You may need to use the appropriate technology to answer this question.
Use the following network with activities and times estimated in days to answer the questions.
A project network with 13 activities and 17 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, to activity E, and to activity F.
Activity B is connected to activity F.
Activity C is connected to activity G and to activity H.
Activity D is connected to activity K.
Activity E is connected to activity I.
Activity F is connected to activity I.
Activity G is connected to activity I.
Activity H is connected to activity J.
Activity I is connected to activity K.
Activity J is connected to activity K.
Activity K is connected to activity Finish.
Activity Finish has no arcs directed to other activities.
| Activity | Optimistic | Most Probable | Pessimistic |
|---|---|---|---|
| A | 2 | 5 | 6 |
| B | 1 | 3 | 7 |
| C | 7 | 8 | 11 |
| D | 5 | 12 | 14 |
| E | 3 | 4 | 5 |
| F | 7 | 8 | 11 |
| G | 4 | 6 | 8 |
| H | 3 | 6 | 8 |
| I | 5 | 7 | 12 |
| J | 13 | 14 | 15 |
| K | 1 | 3 | 4 |
(a)
What are the critical path activities? (Enter your answers as a comma-separated list.)
(b)
What is the expected time (in days) to complete the project?
days
(c)
Based only on the critical path, what is the probability the project will take more than 29 days to complete? (Round your answer to four decimal places.)
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