# Maximum Minimum Problem: Vehicle Parking Lot

by Andrew

(New York)

Need Assistance

Up to 6000 square meters of land is available to build a parking lot for cars and small trucks. The local government has stipulated five conditions that must be met before the project can be put before the planning committee for approval.

a. There must be at least 50 spaces for trucks.

b. each car must be allocated a minimum space of 15 sq meters.

c. each truck must be allocated a minimum space of 30sq meters

d.the parking lot must have at least twice as many spaces for cars as for trucks

e. cars must be charged $2 per hr and trucks $5 per hr.

1. what is the largest number of vehicles the parking lot could hold?

2. What number of car spaces and truck spaces will actually be provided in order to generate maximum revenue when the lot is full?