12. Acme Manufacturing Company produces four different products. Information on the selling prices and the limits of market demand are as follows: Selling Price, $/unit Market Demand, units/week Center 1 Center 2 Center 3 Center 4 Center 5 Material Cost, $/unit Product A 1 2 5 Product A 150 60 The table below shows the time required to produce the different products at the factory's five production centers, the amount of time available at the production centers, the operating costs (including labor and machine time), and the material costs (i.e. parts and raw materials) for the different products. How many units of each product should be made each week, and what will be the weekly profit? Set up the LP. Production Data Time Required to Produce One Unit, Hours 0 0 $20 Product B 0 3 2 0 4 $40 Product B 240 100 Product C Product D 3 1 6 0 2 0 $62 0 3 2 Product C 300 80 $38 Center Capacity Hours/Week Product D 200 60 240 360 280 400 160 Operating Cost $/hr 12 18 8 20 14