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Single Variable Calculus

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Moderate

Maximize Revenue

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A motel manager can fill every one of her 35 rooms if she charges $\$30$/night. For every $\$6$ increase in rate there will be $5$ additional vacancies.

What room rate will maximize revenue?

A

$\$30$

B

$\$36$

C

$\$42$

D

$\$48$