In the project considered below, activity crashing can take place over a wide range of reduction times. The cost per day of reduction is given: Activity Immediate Normal Time Cost/day Lower Time Predecessor (days) Limit A None 3 450 1 None 4 300 A 200 1 D E 2 100 1 E A,B 2 500 1 F C.D 4 600 3 For example, activity C can be crashed from its normal time of 3 days down to as little as 1 day or anywhere in between; the cost per day to crash C is 200. a) Draw a network diagram for this project. What is the critical path? How long will the project take, if no crashing takes place? b) Determine the least cost way to crash activities in order to complete the project in 11 days; in 10 days; in 9 days; in 8 days. c) Suppose the due date for the project is 5 days and a penalty of $500 a day is assessed for each day late. What is the optimal number of days to crash the

Practical Management Science
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In the project considered below, activity crashing can take place over a wide
range of reduction times. The cost per day of reduction is given:
Activity
Immediate
Normal Time
Cost/day
Lower Time
Predecessor
(days)
Limit
A
None
3
450
1
B
None
4
300
2
A
3
200
D
E
100
E
A,B
500
1
F
C.D
4
600
3
For example, activity C can be crashed from its normal time of 3 days down to as
little as 1 day or anywhere in between; the cost per day to crash C is 200.
a) Draw a network diagram for this project. What is the critical path? How long
will the project take, if no crashing takes place?
b) Determine the least cost way to crash activities in order to complete the
project in 11 days; in 10 days; in 9 days; in 8 days.
c) Suppose the due date for the project is 5 days and a penalty of $500 a day is
assessed for each day late. What is the optimal number of days to crash the
project? Why?
Transcribed Image Text:In the project considered below, activity crashing can take place over a wide range of reduction times. The cost per day of reduction is given: Activity Immediate Normal Time Cost/day Lower Time Predecessor (days) Limit A None 3 450 1 B None 4 300 2 A 3 200 D E 100 E A,B 500 1 F C.D 4 600 3 For example, activity C can be crashed from its normal time of 3 days down to as little as 1 day or anywhere in between; the cost per day to crash C is 200. a) Draw a network diagram for this project. What is the critical path? How long will the project take, if no crashing takes place? b) Determine the least cost way to crash activities in order to complete the project in 11 days; in 10 days; in 9 days; in 8 days. c) Suppose the due date for the project is 5 days and a penalty of $500 a day is assessed for each day late. What is the optimal number of days to crash the project? Why?
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