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In: Operations Management

It costs $75 per day for each day that a construction crew is on site. The...

It costs $75 per day for each day that a construction crew is on site. The project manager determines that most activities can be crashed and has listed the crashing costs next to the minimum time for each activity. Use this information to determine the lowest cost for this project. All times given are in days.

Activity Normal Time Minimum Time Crash Cost ($/day) Predecessor
A 10 6 $70 --
B 6 3 $40 --
C 2 2 -- B
D 4 2 $60 C
E 6 4 $80 A
F 8 5 $90

D, E

1750
1780
1720
1810

Solutions

Expert Solution

Asnwer

activity T (Normal) (days) Minimum possible activity time Cost (Normal) Cost (Crash) per day Total crashable days = (Normal duration )-(Minimum possible activity time)
A 10                         6 $70                              4
B 6                         3 $40                              3
C 2                         2                             -  
D 4                         2 $60                              2
E 6                         4 $80                              2
F 8                         5 $90                              3
normal duration crash period 1
PATH crash A by 4
AEF 24 20
BCDF 20 20
Cost of crashing per period 70*4
Total Crashing cost for the period $280
Project Normal Cost 20*75 1500
Project Total cost (=Normal cost + Crashing cost) $1,780


The project cannot be crashed any further - because if we crash any more activities then the total daily crashing cost will exceed the $75 per day limit.

keosha answered 1 year ago
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