Question: Consider the tasks, durations, and predecessor relationships in the following network.
|
Activity Description
|
Immediate
Predecessor(s)
|
Optimistic
(Weeks)
|
Most Likely
(Weeks)
|
Pessimistic
(Weeks)
|
Te
|
Variance
|
|
A
|
---
|
4
|
7
|
10
|
|
|
|
B
|
A
|
2
|
8
|
20
|
|
|
|
C
|
A
|
8
|
12
|
16
|
|
|
|
D
|
B
|
1
|
2
|
3
|
|
|
|
E
|
D, C
|
6
|
8
|
22
|
|
|
|
F
|
C
|
2
|
3
|
4
|
|
|
|
G
|
F
|
2
|
2
|
2
|
|
|
|
H
|
F
|
6
|
8
|
10
|
|
|
|
I
|
E, G, H
|
4
|
8
|
12
|
|
|
|
J
|
I
|
1
|
2
|
3
|
|
|
1) Draw the network:
2) Calculate Te for all tasks (fill in the table):
3) Calculate variance for all tasks (fill in the table):
4) Determine all paths, their estimated durations, and their variances:
5) Identify the critical path:
6) What is the likelihood (probability) of completing the project in 42 weeks?