GC Manufacturing makes two products. There are two processes to produce the products. The Assembly Department requires 4 hours for product 1 and 10 hours for product 2. The Finishing Department requires 14 hours for product 1 and 8 hours for product 2. The Assembly Department has 80 hours available and the Finishing Department has 112 hours available. Product 1 has a profit per unit of $30 and Product 2 has a profit per unit of $70. The storage area can hold no more than 10 units of both finished products combined prior to shipping them at the end of the week. Write the complete formulation of the linear programming model the company needs to solve in order to know the quantity of each product to produce if the objective is to maximize profit.

MGMT SCIENCE