Question

Below are the data for a Time-Cost CPM Scheduling model analysis. The time is in days....

Below are the data for a Time-Cost CPM Scheduling model analysis. The time is in days.

Activity Immediate Predecessor Normal Time Crash Time Normal Cost Crash Cost
A None 4 3 202 383
B A 5 3 303 601
C A 1 1 190 285
D B and C 5 4 509 543
E D 4 2 502 898

What is the total time of this project? Please give your answer in days

What are the total normal cost of this project? Please give your answer in $.

If you crash this project to reduce the total time by one day (keeping the cost as low as possible), what is the total cost of the project? Please give your answer in $.

If you crash this project to reduce the total time by three days (keeping the cost as low as possible), what is the total cost of the project? Please give your answer in $.

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Answer #1

ALL CHAINS

ABDE = 18

ACDE = 14


CRITICAL PATH = LONGEST PATH = ABDE, DURATION = 18

CRASHING

CRASH COST PER PERIOD = (CRASH COST - NORMAL COST) / (NORMAL TIME - CRASH TIME)

FOR 1 PERIOD CRASH

ACTIVITY

NORMAL TIME

CRASH TIME

NORMAL COST

CRASH COST

COST / PERIOD

TIMES CRASHED

# CRASH

CRASH COST

A

4

3

202

383

181

0

B

5

3

303

601

149

0

C

1

1

190

285

0

D

5

4

509

543

34

1

1ST

34

E

4

2

502

898

198

0

TOTAL COST

1706

34

FOR 3 PERIOD CRASH


ACTIVITY

NORMAL TIME

CRASH TIME

NORMAL COST

CRASH COST

COST / PERIOD

TIMES CRASHED

# CRASH

CRASH COST

A

4

3

202

383

181

0

B

5

3

303

601

149

2

2ND 3RD

298

C

1

1

190

285

0

D

5

4

509

543

34

1

1ST

34

E

4

2

502

898

198

0

TOTAL COST

1706

332

MAX POSSIBLE CRASH


ACTIVITY

NORMAL TIME

CRASH TIME

NORMAL COST

CRASH COST

COST / PERIOD

TIMES CRASHED

# CRASH

CRASH COST

A

4

3

202

383

181

1

4TH

181

B

5

3

303

601

149

2

2ND 3RD

298

C

1

1

190

285

0

D

5

4

509

543

34

1

1ST

34

E

4

2

502

898

198

2

5TH 6TH

396

TOTAL COST

1706

909

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