The Scott Corey accounting firm is installing a new computer system. Several things must be done to make sure the system works properly before all the accounts are put into the new system. The following table provides information about this project. How long will it take to install the system? What is the critical path? Activity Immediate Predecessor(s) Time (weeks) A   3 B   4 C A 6 D B 3 E A 5 F C 2 G D,E 5 H F,G 5 The managing partner of the Scott Corey accounting firm has decided that the system must be up and running in 16 weeks. Consequently, information about crashing the project was put together and is shown in the following table: Activity Immediate Predecessor(s) Normal Time (weeks) Crash Time (weeks) Normal Cost ($) Crash Cost ($) A   3 2 8,000 9,300 B   4 3 9,000 10,000 C A 6 4 12,000 15,000 D B 3 1 15,000 15,500 E A 5 3 5,000 8,700 F C 2 1 7,500 9,000 G D,E 5 3 9,000 11,400 H F,G 5 3 5,000 8,000 If the project is to be finished in 16 weeks, which activity or activities should be crashed to do this at the least additional cost?What is the total cost of this? List all the paths in this network.After the crashing in part (a) has been done, what is the time required for each path?If the project completion time must be reduced another week so that the total time is 15 weeks, which activity or activities should be crashed? Solve this by inspection. Note that it is sometimes better to crash an activity that is not the least cost for crashing if it is on several paths rather than to crash several activities on separate paths when there is more than one critical path.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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 The Scott Corey accounting firm is installing a new computer system. Several things must be done to make sure the system works properly before all the accounts are put into the new system. The following table provides information about this project. How long will it take to install the system? What is the critical path?

Activity

Immediate Predecessor(s)

Time (weeks)

A

 

3

B

 

4

C

A

6

D

B

3

E

A

5

F

C

2

G

D,E

5

H

F,G

5

The managing partner of the Scott Corey accounting firm has decided that the system must be up and running in 16 weeks. Consequently, information about crashing the project was put together and is shown in the following table:

Activity

Immediate Predecessor(s)

Normal Time (weeks)

Crash Time (weeks)

Normal Cost ($)

Crash Cost ($)

A

 

3

2

8,000

9,300

B

 

4

3

9,000

10,000

C

A

6

4

12,000

15,000

D

B

3

1

15,000

15,500

E

A

5

3

5,000

8,700

F

C

2

1

7,500

9,000

G

D,E

5

3

9,000

11,400

H

F,G

5

3

5,000

8,000

If the project is to be finished in 16 weeks, which activity or activities should be crashed to do this at the least additional cost?What is the total cost of this?

List all the paths in this network.After the crashing in part (a) has been done, what is the time required for each path?If the project completion time must be reduced another week so that the total time is 15 weeks, which activity or activities should be crashed?

Solve this by inspection. Note that it is sometimes better to crash an activity that is not the least cost for crashing if it is on several paths rather than to crash several activities on separate paths when there is more than one critical path.

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