How many machines in order to minimize total cost

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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 16,000 3 4 2
2 12,000 4 4 3
3 6,000 5 6 4
4 30,000 2 2 1

a. Assume that only purchasing costs are being considered. Which machine would have the lowest total cost, and how many of that machine would be needed? Machines operate 10 hours a day, 250 days a year.

b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $10 each, B machines have an hourly operating cost of $11 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 processing requirements?

Reference no: EM131857027

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