Question: There is a hotel which has 50 rooms. When the rate is $180/night, all rooms will be booked up. There will be one more room

  1. There is a hotel which has 50 rooms. When the rate is $180/night, all rooms will be booked up. There will be one more room available when the rate is increased by $10. For example, when it is $200/night, 48 rooms will be booked. For each room booked, the hotel has to pay $20 for maintenance. What's the best rate for the hotel in order to maximize the profit?

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