Wilkinson Auto Dealership Sells Standard Automobiles and Station Wagons $\$ 250.00$

Essay

Wilkinson Auto Dealership sells standard automobiles and station wagons. The profit contribution for automobiles is $\$ 250.00$ per unit and that for station wagons is $\$ 500.00$ per unit. The company is planning the placement of orders with the manufacturer for next quarter. Orders for automobiles and station wagons can not exceed 320 and 160 respectively. Dealer preparation takes 2 hrs/auto and 5.00 hrs/wagon. They have 1100 hrs of preparation time next quarter. Autos take 1 unit of space, whereas wagons take 1.2 units of space. 480 units of space are available. In order to maintain some balance, the number of cars ordered should not be more than $150 \%$ the number of wagons ordered. Assume they can sell all the autos and wagons they order for the quarter. How many automobiles and wagons should be ordered in order to maximize total profit contribution? Define the decision variables, constraints, and the objective function for this problem.