A small firm intends to increase the capacity of a bottleneck operation by adding a newmachine. Two alternatives, A and B, have been identified, and the associated costs andrevenues 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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Answered: A small firm intends to increase the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 12P

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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 beenestimated. Annual fixed costs would be $40,000 for A and $30,000 for B; variable costs per unitwould be $10 for A and $11 for B; and revenue per unit would be $15.a. Determine each alternative’s break-even point in units.
Stapleton Manufacturing intends to increase capacity through the addition of new equipment. Two vendors have presented proposals. The fixed cost for proposal A is $65,000, and for proposal B, $34,000. The variable cost for A is $10, and for B, $14. The revenue generated by each unit is $18.a) What is the crossover point in units for the two o ptions?b) At an expected volume of8,300 units, which alternative shouldbe chosen?
EMV APPLIED TO CAPACITY DECISION Southern Hospital Supplies, a company that makes hospital gowns, is considering capacity expansion.APPROACH: c Southern’s major alternatives are to do nothing, build a small plant, build a medium plant, or build a large plant. The new facility would produce a new type of gown, and currently the po-tential or marketability for this product is unknown. If a large plant is built and a favorable market ex-ists, a profit of $100,000 could be realized. An unfavorable market would yield a $90,000 loss. However, a medium plant would earn a $60,000 profit with a favorable market. A $10,000 loss would result froman unfavorable market. A small plant, on the other hand, would return $40,000 with favorable marketconditions and lose only $5,000 in an unfavorable market. Of course, there is always the option of doingnothing.Recent market research indicates that there is a .4 probability of a favorable market, which meansthat there is also a .6 probability of an…
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 $36,000 for A and $31,000 for B; variable costs per unit would be $7 for A and $11 for B; and revenue per unit would be $18. a. Determine each alternative’s break-even point in units. (Round your answer to the nearest whole amount.) b. At what volume of output would the two alternatives yield the same profit (or loss)? (Round your answer to the nearest whole amount.) c. If expected annual demand is 15,000 units, which alternative would yield the higher profit (or the lower loss)?
A small firm intends to increase the capacity of a bottleneck operation for producing a product 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 $30000 for A and $25,000 for B; variable costs per unit would be $10 for A and $12 for B; and the revenue per unit would be $25. i. Find the total cost functions for alternatives A and B, and the revenue function ii. Draw both the total cost functions and the revenue function in the same figure. iii. Find the break-even point for the alternatives A and B and show it in the figure iv. Is there any volume of output at which both the alternatives yield the same profit? If so, show it in the figure. If not, identify the volume of output at which the alternatives are indifferent
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 $11 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 12,000 units, which alternative would yield the higher profit?
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 beenestimated. Annual fixed costs would be $40,000 for A and $30,000 for B; variable costs per unitwould be $10 for A and $11 for B; and revenue per unit would be $15.c. If expected annual demand is 12,000 units, which alternative would yield the higher profit?
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