An operations manager is trying to determine a production plan for the next week. There are three products (say, P, Q, and Q) to produce using four machines (say, A and B, C, and D). Each of the four machines performs a unique process. There is one machine of each type, and each machine is available for 2400 minutes per week. The unit processing times for each machine and supplementary data are given in the following tables. Machine A B D Total processing time Product P 15 12 15 Producto 11 25 5 14 55 Product R 10 15 0 14 39 11 53 Item Revenue per unit Material cost per unit Profit per unit Maximum sales Product P $90 $100 $70 100 Product Q $100 $40 $60 40 Product R $70 $20 $50 $60 The manager seek the "optimal" product mix; i.e., the amount of each product that should be manufactured during the present week in order to maximize profits. Please formulate this problem as an LP. An operations manager is trying to determine a production plan for the next week. There are three products (say, P, Q, and Q) to produce using four machines (say, A and B, C, and D). Each of the four machines performs a unique process. There is one machine of each type, and each machine is available for 2400 minutes per week. The unit processing times for each machine is given in the following table. Product Q $100 Item Revenue per unit Material cost per unit Profit per unit Maximum sales Product P $90 $100 $70 100 $40 Product R $70 $20 $50 $60 $60 40 The manager seek the "optimal" product mix; i.e., the amount of each product that should be manufactured during the present week in order to maximize profits. Please formulate this problem as an LP