Hotel ReservationsA hotel near the university always fills up in the evening before football games. History has shown that when the hotel is fully booked, the number of last-minute cancellations has a mean of 5 and a standard deviation of 3. The average room rate is $80. When the hotel is overbooked, the policy is to find a room in a nearby hotel and to pay for the room for the customer. This usually costs the hotel approximately $200 because rooms booked on such late notice are expensive. How many rooms should the hotel overbook?

Hotel ReservationsA hotel near the university always fills up in the evening before football games. History has shown that when the hotel is fully booked, the number of last-minute cancellations has a mean of 5 and a standard deviation of 3. The average room rate is $80. When the hotel is overbooked, the policy is to find a room in a nearby hotel and to pay for the room for the customer. This usually costs the hotel approximately $200 because rooms booked on such late notice are expensive. How many rooms should the hotel overbook?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 13P

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A hotel near the university always fills up on the evening before football games. History has shown that when the hotel is fully booked, the number of last-minute cancellations has a mean of 5 and standard deviation of 3. The average room rate is $130 and customers need to pay when they make the reservation. When the hotel is overbooked, its policy is to find a room in a nearby hotel and to pay for the room for the customer and this usually costs the hotel approximately $200 since rooms booked on such late notice are expensive. How many rooms should the hotel overbook?
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