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Cray ComputerCorporation is developinga new super computer

Computer Science Jan 25, 2023

Cray ComputerCorporation is developinga new super computer. The table below liststhe project activities,normal and crash times,and normal and crash costs.

 

 

 

Immediate

Time (weeks)

Cost ($1,000s)

Activity

Description

Predecessor(s) Normal

Crash

Normal

Crash

A

Design

3

3

           200

           200

B

Evaluate equipment

A

6

4

             80

          100

C

Write methods report 

A

5

3

             50

            80

D

Build prototype 

A

7

4

           125

           170

E

Write equipment report

C

2

1

             20

            30

F

Test prototype

B, D

3

2

           140

           160

G

Write final report

E, F

3

2

             45

          105

 

a.    Draw an activity network diagram for this project.Using the normal activity times, determinethe early start, early finish, late start,and late finishtimes for each activity. Record these values in the diagram.

 

 

 

b.    Based on the normal activity times and costs:

 

(i)   How long will it take to complete the project?

 

 

 

 

(ii)   What is the total project cost?

 

 

 

 

(iii)   Identify the critical path(s).

 

 

c.   For each of the following items, state what the new project durationwill be and briefly indicatewhy. Treat each oneindependently.

(i)   An engineer informs you that it will take 8 weeks instead of 6 weeks to complete activity (evaluate equipment).

 

New duration:                                           Critical path(s):                                                               

 

Reason/Justification:                                                                                                                                                        

(ii)  You learn that activity (write methods report) will take 9 weeks instead of 5 weeks.

New duration:                                           Critical path(s):                                                               

 

Reason/Justification:                                                                                                                                                         

 

(iii) You discover that activity (write equipment report) will take 4 weeks instead of 2 weeks.

 

New duration:                                           Critical path(s):                                                               

 

Reason/Justification:                                                                                                                                                         

 

d.    Develop a crashingschedule to reducethe project durationby four (4) weeks. What additional cost is required? (Ignore the information in part when answeringthis question.)

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