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A hotel has 210 units. All rooms are occupied when the hotel charges ​$90 per day...

A hotel has 210 units. All rooms are occupied when the hotel charges ​$90 per day for a room. For every increase of x dollars in the daily room​ rate, there are x rooms vacant. Each occupied room costs $ 36 per day to service and maintain. What should the hotel charge per day in order to maximize daily​ profit?

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