Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown. Activity Immediate Predecessor Optimistic Most Probable Pessimistic A 3 5 6 B 2 4 6 C A, B 6 7 8 D A, B 8 10 11 E B 2 4 6 F C 1 2 3 G D 6 10 12 H D, F 7 9 11 I E, G, H 3 4 5 (a) What is the expected time (in days) to complete the project? (Round your answer to two decimal places.) (b) Based only on the critical path, what is the estimated probability that the project can be completed in 28 or fewer days? (Round your answer to four decimal places.)
Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown. Activity Immediate Predecessor Optimistic Most Probable Pessimistic A 3 5 6 B 2 4 6 C A, B 6 7 8 D A, B 8 10 11 E B 2 4 6 F C 1 2 3 G D 6 10 12 H D, F 7 9 11 I E, G, H 3 4 5 (a) What is the expected time (in days) to complete the project? (Round your answer to two decimal places.) (b) Based only on the critical path, what is the estimated probability that the project can be completed in 28 or fewer days? (Round your answer to four decimal places.)
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown.
| Activity | Immediate Predecessor | Optimistic | Most Probable | Pessimistic |
|---|---|---|---|---|
| A | 3 | 5 | 6 | |
| B | 2 | 4 | 6 | |
| C | A, B | 6 | 7 | 8 |
| D | A, B | 8 | 10 | 11 |
| E | B | 2 | 4 | 6 |
| F | C | 1 | 2 | 3 |
| G | D | 6 | 10 | 12 |
| H | D, F | 7 | 9 | 11 |
| I | E, G, H | 3 | 4 | 5 |
(a)
What is the expected time (in days) to complete the project? (Round your answer to two decimal places.)
(b)
Based only on the critical path, what is the estimated probability that the project can be completed in 28 or fewer days? (Round your answer to four decimal places.)
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Please help with (b) and (c) as both answers given were incorrect! Please need correct answers.
Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities. The activities, their immediate predecessors, and the activity time estimates (in days) are shown.
| Activity | Immediate Predecessor | Optimistic | Most Probable | Pessimistic |
|---|---|---|---|---|
| A | 3 | 5 | 6 | |
| B | 2 | 4 | 6 | |
| C | A, B | 6 | 7 | 8 |
| D | A, B | 8 | 10 | 11 |
| E | B | 2 | 4 | 6 |
| F | C | 1 | 2 | 3 |
| G | D | 6 | 10 | 12 |
| H | D, F | 7 | 9 | 11 |
| I | E, G, H | 3 | 4 | 5 |
(a)
What are the critical activities? (Enter your answers as a comma-separated list.)
$$A, D, G, I
(b)
What is the expected time (in days) to complete the project? (Round your answer to two decimal places.)
(c)
Based only on the critical path, what is the estimated probability that the project can be completed in 28 or fewer days? (Round your answer to four decimal places.)
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