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FinnZ [79.3K]
3 years ago
7

A car rental agency rents 200 cars per day at a rate of 29 dollars per day. For each 1 dollar increase in the daily rate, 5 fewe

r cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income? R
Business
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer and Explanation:

Given:

Total car = 200

Rate = $29

Computation:

Total increase in rate = a

So , Total decrees in car = 5a

Total income (y) = [200-5a][29+a]

y = 5,800 + 200a - 145a - 5a²

y = 5,800 + 55a - 5a²

y' = dy / da [5,800 + 55a - 5a²]

y' = -10a + 55

in which , y' = 0

0 = -10a + 55

a = 5.5

So , Maximum rate = $ [29+5.5]

Maximum rate = $34.5

maximum income = 5,800 + 55(5.5)- 5(5.5)²

maximum income = 5,800 + 302.5 - 151.25

maximum income = $5951.25

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Explanation:

Part a

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Part b:

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Manuel is retired and receives a fixed payment from his pension each there is inflation when the buying power of his pension will fall

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<h3>What is inflation?</h3>

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To put inflation in its most basic form, it may be thought of as the general upward trend in the prices of goods and services over time. What this implies is that a dollar spent now won't purchase as much in the future. In other words, it will lower your ability to purchase things in the future.

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