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?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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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