The Electrotech Corporation manufactures two industrialsized

The Electrotech Corporation manufactures two industrial-sized electrical devices: generators and alternators. Both of these products require wiring and testing during the assembly process. Each generator requires 2 hours of wiring and 1 hour of testing and can be sold for a $250 profit. Each alternator requires 3 hours of wiring and 2 hours of testing and can be sold for a $150 profit. There are 260 hours of wiring time and 140 hours of testing time available in the next production period, and Electrotech wants to maximize profit. Formulate a linear programming model for this problem (note: you don’t need to solve it).

Solution

no of genertors be X,no of alterntors be Y where X>0,Y>0.

no of wiring hours reuired for both of devices is 2x + 3y = 260

no of testing hours required for both of devices x + 2y =140

profit function is 250X + 150Y = P