A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The management wants to determine if a rate increase would increase their profit. They are not interested in a rate decrease. Suppose management determines that for each​ $2 increase in the nightly​ rate, five fewer rooms will be rented. If each rented room costs​ $8 a day to​ service, how much should the management charge per room to maximize​ profit?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 36PS
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A 60 room hotel is filled to capacity every night at a rate of​ $40 per room.

The management wants to determine if a rate increase would increase their profit. They are not interested in a rate decrease. Suppose management determines that for each​ $2 increase in the nightly​ rate, five fewer rooms will be rented. If each rented room costs​ $8 a day to​ service, how much should the management charge per room to maximize​ profit?

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