2. 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 Car Type Location Economy Mid-size $25 $30 $40 S35 Luxury $10 $45 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. Develop a linear programming model to maximize profit and determine how many reservations each location should accept for each type of car. Is the demand for any car type not satisfied? Explain. 2. 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 Car Type Location Economy Mid-size $25 $30 $40 S35 Luxury $10 $45 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. Develop a linear programming model to maximize profit and determine how many reservations each location should accept for each type of car. Is the demand for any car type not satisfied? Explain