# pre-calculus

The Hotel Florence has 550 rooms. Currently the hotel is filled . The daily rental is \$ 700 per room.
For every \$ 14 increase in rent the demand for rooms decreases by 7 rooms.
Let x = the number of \$ 14 increases that can be made.
What should x be so as to maximize the revenue of the hotel ?
What is the rent per room when the revenue is maximized? \$
What is the maximum revenue? \$

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3. 👁 70
1. revenue is room-charge * #rooms, so
R(x) = (700+14x)(550-7x)

That's just a parabola, and you can easily find its vertex.

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posted by Steve
2. thank you

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2. 👎 0
posted by Irina

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