The Erlanger Manufacturing Company makes two products. The profit estimates are $35 for each unit of product 1 sold and $50 for each unit of product 2 sold. The labor-hour requirements for the products in the three production departments are as follows: Product Department 1 2 A 1.50 3.00 B 2.00 1.00 C 0.25 0.25 The departments’ production supervisors estimate that the following number of labor-hours will be available during the next month: 450 hours in depart-ment A, 325 hours in department B, and 50 hours in department C.
a. Develop a linear programming model to maximize profits.
b. Find the optimal solution. How much of each product should be produced, and what is the pro-jected profit?
c. What are the scheduled production time and slack time in each department?