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Calculate the answer of the following problem

Problem- The area of a parking lot is 4500 sq. ft. Cars require 50 sq. ft. and busses require 225 sq. ft. The attendant can only handle 60 vehicles total. If you charged $5/car and $15/bus.

Part1- how many of each should the attendant admit to maximize your profit on the lot?

Part 2- HOW many busses and cars should be admitted to maximize profits?

I need experts assist to find the number of busses and cars should be admitted.

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