Use the following information to determine the optimal overbooking policy for a motel at a rural town in South Carolina. The motel's capacity is 30 rooms. The historic number of no-shows for a typical day, along with the probability of occurrence, is shown in the following table. The average profitability per room is $110, and the cost of lost goodwill per guest due to overbooking is approximately $60.
-Calculate the total expected profit with 32 reservations (which means 2 overbookings) .
A) $3,300.00
B) $2,886.00
C) $2,897.50
D) $3,221.50
E) $2,827.00
Correct Answer:
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