A car rental agency rents 420 cars per day at a rate of $40 per day. For each $1 increase in rate, 10 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What is the maximum income? The rental agency will earn a maximum income of $ when it charges $ per day.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Must come up with equations then solve.

A car rental agency rents 420 cars per day at a rate of $40 per day. For each $1 increase in rate, 10 fewer cars are rented. At what rate
should the cars be rented to produce the maximum income? What is the maximum income?
The rental agency will earn a maximum income of $
when it charges $
per day.
Transcribed Image Text:A car rental agency rents 420 cars per day at a rate of $40 per day. For each $1 increase in rate, 10 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What is the maximum income? The rental agency will earn a maximum income of $ when it charges $ per day.
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