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A 400 room hotel can rent every one of its rooms at $70 per room. For...

A 400 room hotel can rent every one of its rooms at $70 per room. For each $1 increase in rent, 5 fewer rooms are rented. Each rented room costs the hotel $10 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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