a. Construct a network for this problem. b. Determine the expected time and variance for each activity. c. Determine ES, EF, LS, LF, and slack time for each activity.
11-23 Tom Schriber, the director of personnel of Management Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include preparing resumés, writing letters, making appointments to see prospective employers, and researching companies and industries. The information on these activities is shown in the following table:
| ACTIVITY | DAYS | IMMEDIATE PREDECESSORS | ||
|---|---|---|---|---|
| a | m | b | ||
| A | 8 | 10 | 12 | — |
| B | 6 | 7 | 9 | — |
| C | 3 | 3 | 4 | — |
| D | 10 | 20 | 30 | A |
| E | 6 | 7 | 8 | C |
| F | 9 | 10 | 11 | B, D, E |
| G | 6 | 7 | 10 | B, D, E |
| H | 14 | 15 | 16 | F |
| I | 10 | 11 | 13 | F |
| J | 6 | 7 | 8 | G, H |
| K | 4 | 7 | 8 | I, J |
| L | 1 | 2 | 4 | G, H |
a. Construct a network for this problem.
b. Determine the expected time and variance for each activity.
c. Determine ES, EF, LS, LF, and slack time for each activity.
d. Determine the critical path(s) and project completion time.
e. Determine the probability that the project will be finished in 70 days or less.
f. Determine the probability that the project will be finished in 80 days or less.
g. Determine the probability that the project will be finished in 90 days or less.
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