d) What is the critical path and project completion time? e) What is the probability that the job will finish in 59 days or less? f) What is the probability that the job will finish in 54 days or more?
I need help with D,E, and F please.
A plant is acquiring new production machinery. Before the machinery can be fully functional, a number of activities must be performed. The activities, their precedence relationships, and their durations are shown in the following table.
|
|
Days |
|
||
|
Activity |
a |
m |
b |
Immediate Predecessors |
|
A |
6 |
8 |
10 |
- |
|
B |
4 |
5 |
6 |
- |
|
C |
1 |
2 |
3 |
- |
|
D |
8 |
18 |
28 |
A |
|
E |
4 |
5 |
6 |
C |
|
F |
7 |
8 |
9 |
B, D, E |
|
G |
4 |
5 |
9 |
B, D, E |
|
H |
12 |
13 |
14 |
F |
|
I |
8 |
9 |
10 |
F |
|
J |
4 |
5 |
6 |
G, H |
|
K |
2 |
5 |
8 |
I, J |
|
L |
1 |
2 |
6 |
G, H |
a) Develop a project network for this problem.
b) Determine the expected duration and variance for each activity.
c) Determine the EST, EFT, LST, LFT, and slack for each activity.
d) What is the critical path and project completion time?
e) What is the probability that the job will finish in 59 days or less?
f) What is the probability that the job will finish in 54 days or more?
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