Question: 1. Solve the following linear program graphically. Max 5X + 7Y s.t. X 56 2x + 3y = 19 X + Y S8 X,Y 20

1. Solve the following linear program graphically. Max 5X + 7Y s.t. X 56 2x + 3y = 19 X + Y S8 X,Y 20 2. The Alpha Beta Corporation makes laser and inkjet printers for personal computers. Each laser printer yields $40.00 in profits and each inkjet printer provides $20.00. Each of the printers goes through two assembly areas. The following table provides processing times per unit (in minutes) as well as total available processing times per department: Printer Dept A Dept B Laser 9 12 Ink jet 6 8 Total time per day 216 384 Sales commitments require at least 5 laser printers and 10 ink jet printers to be made per day. The company is interested in determining how many of each printer to produce so as to maximize its profit. a. Formulate this problem as an LP. b. Graph this problem. c. What is the optimal solution

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