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A company that produces pleasure boats has decided to expand one of its lines. Current facilities are insufficient to handle the increased workload, so the company is considering three alternatives, A (new location), B (subcontract), and C (expand existing facilities).
Alternative A would involve substantial fixed costs but relatively low variable costs: fixed costs would be $280,000 per year, and variable costs would be $530 per boat. Subcontracting would involve a cost per boat of $2,550, and expansion would require an annual fixed cost of $58,000 and a variable cost of $1,080 per boat.
a. Find the range of output for each alternative that would yield the lowest total cost.
b. Which alternative would yield the lowest total cost for an expected annual volume of 140 boats?
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