Question
Bill Fennema, a president of Fennema Construction, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Draw the
Bill Fennema, a president of Fennema Construction, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Draw the AOA network and answer the questions that follow.
Activity | Immediate Predecessor(s) | Time Estimates (in weeks) | ||
Optimistic
| Most likely
| Pessimistic | ||
A | - | 4 | 8 | 10 |
B | A | 2 | 8 | 24 |
C | A | 8 | 12 | 16 |
D | A | 4 | 6 | 10 |
E | B | 1 | 2 | 3 |
F | E, C | 6 | 8 | 20 |
G | E, C | 2 | 3 | 4 |
H | F | 2 | 2 | 2 |
I | F | 6 | 6 | 6 |
J | D, G, H | 4 | 6 | 12 |
K | I, J | 2 | 2 | 3 |
a) What is the variance for activity H? b) What is the critical path for the project? c) What is the estimated time of the critical path? d) What is the probability that the project duration will not be less than 35 weeks?
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