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CrayComputerCorporationisdevelopinganewsupercomputer.Thetablebelowliststhe projectactivities,normal andcrashtimes,andnormalandcrashcosts. Immediate Time(weeks) Cost($1,000s) Activity Description Predecessor(s) Normal Crash Normal Crash A Design 3 3 200 200 B Evaluateequipment A 6 4 80

CrayComputerCorporationisdevelopinganewsupercomputer.Thetablebelowliststhe projectactivities,normal andcrashtimes,andnormalandcrashcosts.

Immediate

Time(weeks)

Cost($1,000s)

Activity

Description

Predecessor(s) Normal

Crash

Normal

Crash

A

Design

3

3

200

200

B

Evaluateequipment

A

6

4

80

100

C

Writemethodsreport

A

5

3

50

80

D

Buildprototype

A

7

4

125

170

E

Writeequipmentreport

C

2

1

20

30

F

Testprototype

B, D

3

2

140

160

G

Writefinalreport

E,F

3

2

45

105

a. Drawanactivitynetworkdiagramforthisproject.Usingthenormalactivitytimes,determinetheearlystart, earlyfinish,latestart,andlatefinishtimesforeachactivity.Recordthesevaluesinthediagram.

b. Basedonthenormalactivitytimesandcosts:

(i) Howlongwillittaketocompletetheproject?

(ii) Whatisthetotalprojectcost?

(iii) Identifythecriticalpath(s).

c. Foreachofthefollowingitems,statewhatthenewprojectdurationwillbeandbrieflyindicatewhy.Treateach oneindependently.

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

New duration: Critical path(s):

Reason/Justification:

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

New duration: Critical path(s):

Reason/Justification:

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

New duration: Critical path(s):

Reason/Justification:

d. Developacrashingscheduletoreducetheprojectdurationbyfour(4)weeks.Whatadditionalcostisrequired? (Ignoretheinformationinpartcwhenansweringthisquestion.)

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