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 $60000 for A and $40,000 for B; variable costs per unit would be $20 for A and $15 for B; and revenue per unit would be $30. i. Find the total cost function 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. At what volume of output would the two alternatives yield the same profit? Show it in the figure.
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 $60000 for A and $40,000 for B; variable costs per unit would be $20 for A and $15 for B; and revenue per unit would be $30. i. Find the total cost function 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. At what volume of output would the two alternatives yield the same profit? Show it in the figure.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![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 $60000 for A and $40,000 for B;
variable costs per unit would be $20 for A and $15 for B; and revenue per
unit would be $30. i. Find the total cost function 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. At what volume of output
would the two alternatives yield the same profit? Show it in the figure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff683c99c-3aa8-4063-9a90-335db75f3031%2Fdd6613fa-134f-414d-8998-ef0628aa589f%2Fs5ooyosd_processed.png&w=3840&q=75)
Transcribed Image Text: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 $60000 for A and $40,000 for B;
variable costs per unit would be $20 for A and $15 for B; and revenue per
unit would be $30. i. Find the total cost function 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. At what volume of output
would the two alternatives yield the same profit? Show it in the figure.
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