Overbooking hotel rooms (Occupancy Management). The practice of overbooking hotel rooms - accepting reservations for more rooms than are available by
•The hotel has a maximum capacity of 25 rooms.
•The hotel makes revenue of $100 for each room that is occupied (If a customer cancels or is denied a room the hotel does not get any money from this customer).
•The hotel has a policy to make exactly 26 Guaranteed reservations each day.
•Any reservation that is not honored by the hotel will cost the hotel $300. The $300 is the cost to pay for a nearby hotel room and provide the customer with a complementary dinner at a nearby restaurant.
•Assume that the hotel has a fixed daily operating cost of $1,800 and a variable room cleaning and maintenance cost of $20 per occupied room.
Number who show up | 23 | 24 | 25 | 26 |
probability | 0.3 | 0.4 | 0.2 | 0.1 |
revenue | ||||
variable cost | ||||
fixed cost | ||||
profit = revenue - variable cost - fixed cost |
What is the Expected Daily Profit for this hotel.
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