The heir to the throne was due 56 days from now and the first-time father had a serious construction project on his hands converting his man cave into a nursery
The seven activities, their normal and expedited times (in days) and costs appear in the table. What is the minimum cost to ensure that this project is completed in 56 days? Which activities should be reduced and by how many days?
Activity Normal time Crash time Normal Cost Crash Cost Predecessor
A 5 3 500 1100
B 18 15 900 2300 A
C 12 9 2500 3000 A
D 9 7 500 650 B
E 15 12 3000 5000 B
F 12 10 4000 5000 C, D
G 20 15 3600 4800 E, F
The project before any expediting takes 64 days. The activities that should be expedited are D, for 2 days at $75/day; G for 5 days at $240/days; and A for 1 day at $300/day. The total cost to expedite is $1,650 in addition to the normal cost of $15,000.
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