The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can be at most 80 vehicles parked at one time. If the cost to park a car is $2.00 and a bus is $6.00, how many should be in the lot to maximize income?

Question

Mathematics

Anahi Wolf

2 July, 18:09

The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can be at most 80 vehicles parked at one time. If the cost to park a car is $2.00 and a bus is $6.00, how many should be in the lot to maximize income?

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Answers (1)

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Jack Greer · Answer 1

80 cars will maximize revenue

Step-by-step explanation:

The revenue per square meter for parked cars is ...

$2.00/5 = $0.40

The revenue per square meter for buses is ...

$6.00/32 = $0.1875

Thus the available space should be used to park the maximum number of cars.

80 cars should be in the lot to maximize income.