11. Suppose management at Spartan Cabinets has developed additional information for the project described in Problem 10.

To illustrate, Activity A can be crashed by up to three weeks at a cost of $2,000 per week. Therefore, Activity A can be 8, 7, 6, or 5 weeks long, depending on how much money Spartan Cabinets decides to spend to crash the activity.

a. (***) What is the cheapest way to crash the project by two weeks?

b. (***) What is the shortest time in which the project can be completed? (Assume that cost is not a concern.)

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NUMBER OF WEEKS CRASH DURATION ACTIVITY CAN COST PER ACTIVITY (WEEKS) BE CRASHED WEEK A Hire workers 8 3 $2,000 B Install equipment 6 1 4,000 C Order materials 3 1 1,000 D Test equipment 4 2 2,500 E Train workers 6 2 5,000 F Run pilot tests 5 3 3,000