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A hotel can book 450 rooms at $150 per night. For each $10 increase in daily rate, the vacant rooms increase by 5. The cost

A hotel can book 450 rooms at $150 per night. For each $10 increase in daily rate, the vacant rooms increase by 5. The cost overall daily cost is $200 for cleaning supplies plus $10 to clean each occupied room. What room rate maximizes profit?

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