The estimated times and immediate predecessors for the
activities in a project at John Black’s company are given in the
following table. Assume that the activity times are independent.
All times are in weeks.
|
Activity |
Predecessors |
Optimistic Time (a) |
Most Likely Time (m) |
Pessimistic Time (b) |
|
A |
— |
2 |
4 |
6 |
|
B |
— |
1 |
2 |
9 |
|
C |
A |
2 |
4 |
6 |
|
D |
B |
5 |
8 |
17 |
|
E |
C |
3 |
4 |
11 |
a) What is the critical path? You may
use any method to determine this.
b)What is the expected completion time
of the project?
c)What is the probability of
completing the project in 16 weeks or more?
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