Problem 2 40 Points Shown below are the PERT schedule and th
Problem 2 (40 Points): Shown below are the PERT schedule and the precedence relationships among the activities required to complete a project.
1-Setup the project activity network diagram for the following relationships in the table and determine the critical path.
2-What is the probability if the company wants the project completed in more than 32 weeks?
Activity
Optimistic Time (weeks)
Mode
Time (weeks)
Pessimistic
Time (weeks)
Preceding Activities
A
2
3
5
-
B
3
4
6
A
C
6
8
11
B
D
5
6
9
A
E
6
8
10
D
F
4
5
6
D
G
5
6
9
F
H
2
3
4
C, E
I
1
3
5
C, E, G
J
4
5
8
H, I
K
2
3
5
J
L
5
9
11
C, E, G
| Activity | Optimistic Time (weeks) | Mode Time (weeks) | Pessimistic Time (weeks) | Preceding Activities |
| A | 2 | 3 | 5 | - |
| B | 3 | 4 | 6 | A |
| C | 6 | 8 | 11 | B |
| D | 5 | 6 | 9 | A |
| E | 6 | 8 | 10 | D |
| F | 4 | 5 | 6 | D |
| G | 5 | 6 | 9 | F |
| H | 2 | 3 | 4 | C, E |
| I | 1 | 3 | 5 | C, E, G |
| J | 4 | 5 | 8 | H, I |
| K | 2 | 3 | 5 | J |
| L | 5 | 9 | 11 | C, E, G |
Solution


