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Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Question

Transcribed Image Text:Which of the following is a good constraint to model the fact that activity A is an immediate predecessor of activity B?
A B YB ≥ 5
-A+B+B ≤5
-A+B+B ≥ 5
A+B+B 5
None of the above.
Question 6
BONUS
Which of the following is a good constraint to model the fact that activity D is an immediate predecessor of activity F?
UP ≤1
-xD+F+YF ≥ 3
-D+p+UP > 4
None of the above.

Transcribed Image Text:Project Management Homework-Project Crashing
Use the following scenario and data to answer all related questions.
A community neighborhood association decided to add a swimming pool to the community activity center.
The project is divided into the activities listed in the following table. The activity times and costs, both normal and crashed, are given.
To finish the project before the summer season starts, the neighborhood has to make time and cost tradeoffs.
If the project needs to be finished in 20 weeks, you are required to formulate a linear programming model to decide about how much to crash for each activity.
Activity
Immediate
Predecesso Normal
Gs)
Cost (5)
Cost (5)
Crashed
Normal
Crashed
A
4
2
800
1400
B
A
5
2
3000
4200
C
6
4
2500
2800
D
A, C
7
5
1600
2200
E
B, C
5
2
1200
2100
F
D
4
3
1300
2100
G
E, F
5
3
8200
9000
To answer the following questions, you may want to use the last column of the following table to compute the cost of crashing an activity by one week.
Immediate
Activity
Predecesso Normal
rs)
Crashed
Cost (5)
Cost (5)
Cost/Week
Normal Crashed
A
4
2
BOO
1400
B
A
5
2
3000
4200
CDEFG
6
4
2500
2800
A, C
7
5
1600
2200
B, C
5
2
1200
2100
D
4
3
1300
2100
E, F
5
3
8200
9000
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