Mr. Alonso owns a building with 120 rooms. He can rent them all if he sets a rent $ 400 monthly per room. With a higher rent, some rooms will be vacant. On average, for every $ 10 rent increase, 2 bedrooms will be vacant without a chance to rent. Find the income function as a function of the number of empty rooms. What rent monthly will maximize total income? What is this maximum income?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
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Mr. Alonso owns a building with 120 rooms. He can rent them all if he sets a rent $ 400 monthly per room. With a higher rent, some rooms will be vacant. On average, for every $ 10 rent increase, 2 bedrooms will be vacant without a chance to rent. Find the income function as a function of the number of empty rooms. What rent monthly will maximize total income? What is this maximum income?

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