A manager has the option of purchasing one, two, or three machines. Fixed costs and potential volumes are as follows:Number ofMachinesTotal AnnualFixed CostsCorrespondingRange of Output1 $ 9,600 0 to 3002 15,000 301 to 6003 20,000 601 to 900Variable cost is $10 per unit, and revenue is $40 per unit.a. Determine the break-even point for each range.b. If projected annual demand is between 580 and 660 units, how many machines shouldthe manager purchase?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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A manager has the option of purchasing one, two, or three machines. Fixed costs and potential volumes are as follows:
Number of
Machines
Total Annual
Fixed Costs
Corresponding
Range of Output
1 $ 9,600 0 to 300
2 15,000 301 to 600
3 20,000 601 to 900
Variable cost is $10 per unit, and revenue is $40 per unit.
a. Determine the break-even point for each range.
b. If projected annual demand is between 580 and 660 units, how many machines should
the manager purchase?

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