A small firm intends to increase the capacity of a bottleneck operation by adding a new machine. Two alternatives, A and B, have been identified, and the associated costs and revenues have been estimated. Annual fixed costs would be $40,000 for A and $30,000 for B; variable costs per unit would be $10 for A and $12 for B; and revenue per unit would be $15. a. Determine each alternative's break-even point in units. b. At what volume of output would the two alternatives yield the same profit? c. If expected annual demand is 8,000 units, which alternative would yield the higher profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A small firm intends to increase the capacity of a bottleneck operation by adding a new
machine. Two alternatives, A and B, have been identified, and the associated costs and
revenues have been estimated. Annual fixed costs would be $40,000 for A and $30,000 for B;
variable costs per unit would be $10 for A and $12 for B; and revenue per unit would be $15.
a. Determine each alternative's break-even point in units.
b. At what volume of output would the two alternatives yield the same profit?
c. If expected annual demand is 8,000 units, which alternative would yield the higher profit?
Transcribed Image Text:A small firm intends to increase the capacity of a bottleneck operation by adding a new machine. Two alternatives, A and B, have been identified, and the associated costs and revenues have been estimated. Annual fixed costs would be $40,000 for A and $30,000 for B; variable costs per unit would be $10 for A and $12 for B; and revenue per unit would be $15. a. Determine each alternative's break-even point in units. b. At what volume of output would the two alternatives yield the same profit? c. If expected annual demand is 8,000 units, which alternative would yield the higher profit?
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