An electronic contractor is examining the amount of time his crews take to complete wiring jobs. Some crews take longer than others. For an upcoming job, a list of activities and their optimistic, most likely, and pessimistic completion times are given in the following table. Days Activity a m b Immediate Predecessors A 2 5 8 - B 1 3 5 - C 1 2 3 - D 5 6 7 C E 1 3 5 B, D F 5 9 13 A, E G 1 2 3 A, E H 2 5 8 F I 9 10 11 G J 13 15 20 G K 4 7 10 H, I a) Develop a project network for this problem. b) What is the critical path and project completion time? c) What is the probability that the job will finish in 33 days or less?
An electronic contractor is examining the amount of time his crews take to complete wiring jobs. Some crews take longer than others. For an upcoming job, a list of activities and their optimistic, most likely, and pessimistic completion times are given in the following table. Days Activity a m b Immediate Predecessors A 2 5 8 - B 1 3 5 - C 1 2 3 - D 5 6 7 C E 1 3 5 B, D F 5 9 13 A, E G 1 2 3 A, E H 2 5 8 F I 9 10 11 G J 13 15 20 G K 4 7 10 H, I a) Develop a project network for this problem. b) What is the critical path and project completion time? c) What is the probability that the job will finish in 33 days or less?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
An electronic contractor is examining the amount of time his crews take to complete wiring jobs. Some crews take longer than others. For an upcoming job, a list of activities and their optimistic, most likely, and pessimistic completion times are given in the following table.
|
|
Days |
|
||
|
Activity |
a |
m |
b |
Immediate Predecessors |
|
A |
2 |
5 |
8 |
- |
|
B |
1 |
3 |
5 |
- |
|
C |
1 |
2 |
3 |
- |
|
D |
5 |
6 |
7 |
C |
|
E |
1 |
3 |
5 |
B, D |
|
F |
5 |
9 |
13 |
A, E |
|
G |
1 |
2 |
3 |
A, E |
|
H |
2 |
5 |
8 |
F |
|
I |
9 |
10 |
11 |
G |
|
J |
13 |
15 |
20 |
G |
|
K |
4 |
7 |
10 |
H, I |
a) Develop a project network for this problem.
b) What is the critical path and project completion time?
c) What is the probability that the job will finish in 33 days or less?
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