Assume that only purchasing costs are being considered. Which machines would have the lowest total cost, and how many of that machines would be needed? b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $11 each, B machines have an hourly operating cost of $10 each, and C machines have an hourly operating cost of $12 each. Which alternative would be selected, and how many machines, in order to minimize total cost while satisfying capacity requirements? Show work and explain the process

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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  1. A manager must decide which type of machine to buy, A, B, or C. Machines costs are as follows:
Machine Cost
A $40,000
B $30,000
C $80,000

Product forecast, processing times on the machines, and setup times are as follows:

  Processing Time Per Unit (minutes)  
Product Annual Demand A B C Setup Times (minutes) Production Lots (units)
1 16,000 3 4 2 20 200
2 12,000 4 5 3 35 100
3 6,000 5 6 3 60 50
4 30,000 2 4 1 15

500

Machines operate 10 hours a day, 250 days a year. The manager wants to have a capacity cushion of 10%.

a. Assume that only purchasing costs are being considered. Which machines would have the lowest total cost, and how many of that machines would be needed?

b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $11 each, B machines have an hourly operating cost of $10 each, and C machines have an hourly operating cost of $12 each. Which alternative would be selected, and how many machines, in order to minimize total cost while satisfying capacity requirements?

Show work and explain the process

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