Hire$-$a$-$Car System rents three types of cars at two different locations. The profit contribution

made per day for each car type at each location is listed below.

The management forecasts the demand per day by car type as follows: $125$ rentals for Economy

cars, $55$ rentals for Mid$-$size cars, and $40$ rentals for Luxury cars. The vehicle capacity of each

location is $100$ cars in location A and $120$ cars in location B