The Galaxy project consists of 8 interdependent tasks, labeled A through H. You've consulted experts, and have determined an optimistic, likely and pessimistic completion time (in days) for each of the tasks. The dependencies, and the times, are listed below.
| Task |
Precursor(s) |
Optimistic |
Likely |
Pessimistic |
| A |
(start) |
2 |
6 |
9 |
| B |
A |
18 |
19 |
20 |
| C |
A |
10 |
12 |
14 |
| D |
A |
12 |
18 |
24 |
| E |
(start) |
13 |
14 |
16 |
| F |
B, C, D |
8 |
12 |
16 |
| G |
D, E |
6 |
8 |
10 |
| H |
F, G |
17 |
20 |
21 |
| (end) |
H |
|
|
|
1. Draw a path diagram for the project.
2. Calculate the expected length of each task. Fill in the following worksheet.