- Hire-a-Car System rents three types of cars at two differentlocations. The profit made per day for each car type and company atthe two locations is listed below:
| Car Type |
Company | Type 1 | Type 2 | Type 3 |
A | $25 | $40 | $10 |
B | $30 | $35 | $45 |
The management forecasts the demandper day by car type. A linear programming model developed tomaximize profit is used to determine how many reservations toaccept for each type of car. The demand forecast for a particularday is 125 rentals for Type 1 cars, 55 rentals for Type 2 cars, and40 rentals for Type 3 cars. The company has 100 cars in location Aand 120 cars in location B.
Use linear programming to determinehow many reservations to accept for each car type and how thereservations should be allocated to the different locations. Is thedemand for any car type not satisfied? Explain.
