Answer:
Let x be the one of the cars that is no rented
Let the total rent be (10+x) per day
Then number of cars rented = 24 - x
Income generated = (10 + x ) * (24 - x)
Differentiate this equation and equate it to zero
Income = -(10 + x) + 24 –x
-10 - x + 24 - x
-2X + 14 = 0
X = 14/2
x = 7
So for a rent of 10+7 = 17 maximum income is generated.
The charge to maximize income is 17
A car rental agency has 24 identical cars. The owner of the agency finds that at a price of $10 per day, all the cars c...
12. Maximum Revenue) A car-rental agency can rent 100 cars per day at a rate of $40 per day For each price increase of $1 per day, 2 less cars are rented. What rate should be charged to maximize the revenue of the agency?
This Test: 25 pts possible A car rental agency rents 200 cars per day at a rate of $20 per day for each $1 increase in rate, 5 fower 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 Enter your answer in each of the answer boxes
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