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 an LP model for this problem. Sketch the feasible region for this problem. Determine the optimal solution to this problem using level curves.

Answer 1

Given that generators generate greater profit with less consumption of hours, the maximum profit would be building 130 generators, obtaining $ 32,500 of profit, and there would be 10 hours of testing left over.

Step-by-step explanation:

Since the Electrotech Corporation manufactures two industrial-sized electrical devices: generators and alternators, and both of these products require wiring and testing during the assembly process, and each generator requires 2 hours of wiring and 1 hour of testing and can be sold for a $ 250 profit, while each alternator requires 3 hours of wiring and 2 hours of testing and can be sold for a $ 150 profit, and 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, to determine this situation the following mathematical logical reasoning must be carried out:

260/2 = 130

140 - 130 = 10

130 generators = 32,500

Thus, given that generators generate greater profit with less consumption of hours, the maximum profit would be building 130 generators, obtaining $ 32,500 of profit, and there would be 10 hours of testing left over.