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A 400​-room hotel can rent every one of its rooms at $100 per room. For each​...

A 400​-room hotel can rent every one of its rooms at $100 per room. For each​ $2 increase in​ rent,

4 fewer rooms are rented. Each rented room costs the hotel​ $12 to service per day. How much should the hotel charge for each room to maximize its daily​ profit? What is the maximum daily​ profit?

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