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 $270,000 per year, and variable costs would be $600 per boat. Subcontracting would involve a cost per boat of $2,620, and expansion would require an annual fixed cost of $57,000 and a variable cost of $1,030 per boat. A. Find the range of output for each alternative that would yield the lowest totalcost.
A. 315,550 or more.
B. 2,550 or 306,000.
C. 57,050 or 182,000.
B. Which alternative would yield the lowest total cost for an expected annual volumeof 120 boats?
A. A.
B. B.
C. C.

A. Lowest Total Cost:

A. 315,550 or more

B. Lowest total cost of annual volume of 120 boats

C. C

Explanation:

The lowest total cost among the three alternatives is b.

If the company goes for new location it will have to incur fixed cost of $270,000 and variable cost per boat will be $600.

If the company Subcontracts then Total cost per boat is $2,620

If a company goes for expanding existing facility then it will incur fixed cost of $57,000 and variable cost will be $1,030 per boat.

If company produces 315,000 or more boats then it will have lowest possible cost for the boat.

For an output of 120 bots the best possible alternative is option C. The fixed cost will be $475 per boat ($57,000 / 120 boats)

The total cost will be $1,505 ($475 + $1,030)

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