A car rental agency rents 200 cars per day at a rate of $30 per day. For each $1 increase in rate, 5 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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Both of your answers are incorrect. To find the car rental rate per day which
produces the maximum income, find the critical numbers of the income function,
where the income is a function of the number of dollar increases in price. Test the
critical numbers to determine where the maximum income occurs and what the
value of the maximum income is.
OK
Transcribed Image Text:> Try again. X Both of your answers are incorrect. To find the car rental rate per day which produces the maximum income, find the critical numbers of the income function, where the income is a function of the number of dollar increases in price. Test the critical numbers to determine where the maximum income occurs and what the value of the maximum income is. OK
A car rental agency rents 200 cars per day at a rate of $30 per day. For each $1 increase in rate, 5 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 200 cars per day at a rate of $30 per day. For each $1 increase in rate, 5 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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