1. Hammond's Champion Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently, the shop has a contract to produce three products. The contract calls for 400 units of product 1;570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows: Machinc Product 35 40 38 34 32 39 43 40 36 Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste, and operating cost. The profit per unit per machine for each product is summarized below Machinc Product S7.8 6.7 8.4 S7.8 8.9 S8.2 S7.9 9.0 5.8 The company wants to know how many units of cach product to produce on cach machine in order to maximize profit. Formulate a LP model and solve