The area of a parking lot is 600 square meters. a car requires 6 square metes and a bus requires 30square meters of space. the lot can handle a maximum of 60 vehicles. if a car costs $3 and a bus costs8 to park in the lot, determine the number of each vehicle to maximize the amount collected.

A=600 with a maximum of 60 vehicles
Each car takes up 6 m
Each bus takes up 30 m

Max amount of cars in the lot would be 600 divided by 6 or 100 cars.

Max amount of buses in the lot would be 600 divides by 30 or 20 buses.

To collect the maximum amount of money using only 60 vehicles, park 20 buses and 40 cars.

6(2x + 5y)6 (2x) = 12x6 (5y) = 30y12x + 30y