A manager must decide which type of machine to buy, A, B, or C. Machine costs are as follows: Machine Cost A             $40,000 B             $30,000 C             $80,000 Product forecasts and processing times on the machines are as follows:     Processing Time per Unit (minutes) Product Annual Demand A B C 1 16000 3 4 2 2 12000 4 4 3 3 6000 5 6 4 4 30000 2 2 1 a.) Assume that machines operate 10 hours a day, 250 days a year. If we only consider purchasing costs, which machine would have the lowest total cost? b.) Assume machines operate 10 hours a day, 250 days a year. If we select machine A, how many machine A do we need? (Use common sense to decide the answer.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 30P
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A manager must decide which type of machine to buy, A, B, or C. Machine costs are as follows:

Machine Cost
A             $40,000
B             $30,000
C             $80,000
Product forecasts and processing times on the machines are as follows:

    Processing Time per Unit (minutes)
Product

Annual Demand

A B C
1 16000 3 4 2
2 12000 4 4 3
3 6000 5 6 4
4 30000 2 2 1


a.) Assume that machines operate 10 hours a day, 250 days a year. If we only consider purchasing costs, which machine would have the lowest total cost?

b.) Assume machines operate 10 hours a day, 250 days a year. If we select machine A, how many machine A do we need? (Use common sense to decide the answer.)

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