The Electrotech Corporation manufactures two industrial-sized electrical devices

Question

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).

Explanation / Answer

Let "X" be the number of generator sold and "Y" be the alternator sold

Maximize Z = 250X + 150 Y

Also,

2X +3 Y < = 260                                                          [<= IT MEAns less than or equal to ]

1X + 2Y <=   140

X and Y > = 0

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