Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Kelle Carpet and Trim installs carpet in commercial offices. Peter Kelle has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table:
| Activity | a | m | b | Immediate Predecessor(s) | Activity | a | m | b | Immediate Predecessor(s) |
| A | 3 | 5 | 9 | - | G | 1 | 2 | 3 | A, E |
| B | 4 | 5 | 6 | - | H | 4 | 6 | 8 | F |
| C | 1 | 2 | 3 | - | I | 10 | 11 | 12 | G |
| D | 7 | 8 | 9 | C | J | 15 | 17 | 19 | C |
| E | 1 | 3 | 5 | B, D | K | 4 | 8 | 12 | H, I |
| F | 5 | 10 | 15 | A, E |
b) Activities on the critical path for the project are C - D - E - F - H - K
c) For the given project, the earliest start (ES) and earliest finish (EF) are:
For the given project, the latest start (LS) and latest finish (LF) are:
(Round your responses to two decimal places.)
Referring to the standard normal table the probability that Kelle Carpet and Trim will finish the project in
____ days or less is ____(Enter as a probability and round your response to two decimal places.)
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