What is the cost to finish this project (all activity durations are in weeks and costs in US dollars) as quickly as possible?
Activity Predecessor Normal Time Minimum Time Normal Cost Crash Cost
A 12 10 1000 1500
B A 5 3 1200 1950
C A 9 7 1500 2100
D B, C 14 10 1800 2100
E B 4 3 1400 1875
F D 9 8 1000 1450
G E 7 5 700 1200
H F, G 11 8 2000 3000
I H 8 6 1100 1700
The initial project duration is 63 weeks thanks to the valuable contributions of path ACDFHI. Path ABEGHI is 47 weeks and path ABDFHI is 59 weeks long. The base project cost is $11,700.
Purchases from least expensive to most expensive are as follows:
Activity D reduced 4 days for $300
Activity A reduced 2 days for $500
Activity C reduced 2 days for $600
Activity I reduced 2 days for $600
Activity H reduced 3 days for $1,000
Activity F reduced 1 day for $450
The new project length is 49 days with path lengths of ACDFHI=49; ABEGHI=40; and ABDFHI=45. The total project cost is now $15,150.
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