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 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
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