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).

Answer 1

Answer: - According to given data

Two devices generators and alternators

We need to formulate it by maximize equation where

Assume generators as X1 and alternators as X2

Maximize equation obtained by selling price of both devices as shown below

Maximize = $250 X1 + $150 X2 --- ( Selling price of both devices )

2 X1 + 3 X2 <= 260 hours --- ( Total wiring time of both devices )

X1 + 2 X2 <= 140 hours --- ( Total testing time of both devices )

X1 >= 0 and X2 >= 0