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Answer #1

a. Y = 950 + 8x.

Variable housekeeping cost per room = $ ( 10,150 - 6,870) / ( 1,150 - 740 ) = $ 3,280 / 410 = $ 8 per room.

Fixed housekeeping cost per month = $ 10,150 - ( 1,150 x $ 8 ) = $ 950

b. Y = 26,090 + 13 x

Total fixed costs per month = $ ( 18,400 + 3,340 + 3,400 + 950) = $ 26,090.

Variable cost per room = $ ( 1.80 + 3.20 + 8.00) = $ 13

c. Total operating costs = $ 42,340.

Total operating costs if 1,250 rooms are occupied = $ 26,090 x ( 1,250 x $ 13) = $ 42,340

d. The answer might be unreliable since 1,250 rooms is outside the range provided.

e. The marginal cost per room is $ 13. It might be useful for the owner in deciding upon the pricing per room during off season. The fixed costs would be incurred regardless of the number of rooms occupied, and whether it is peak season or off season.. In the short run, it is the marginal cost which matters.

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