The Electro-comp Corporation manufactures 2 electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 5 hours of wiring and 3 hours of drilling. Each fan must go through 3 hours of wiring and 2 hours of drilling. To ensure an adequate supply of air conditioners for a contract, at least 50 air conditioners should be manufactured. Electro-comp management also insists that no more than 60 and less than 15 fans be produced during this production period. In addition, management imposed a constraint on the total number of air conditioners and fans to be made not more than 100. During the next production period, 300 hours of wiring and 240 hours of drilling times are available. Each air conditioner sold yields a profit of $50. Each fan assembled may be sold for a $30 profit. Formulate this production mix situation as an LP problem to find the best combination of air conditioners and fans that yields the maximum profit. Draw the constraints of the problem on a graph paper and highlight the feasible region there. Find the maximal profit solution to the problem by the graphical method
The Electro-comp Corporation manufactures 2 electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 5 hours of wiring and 3 hours of drilling. Each fan must go through 3 hours of wiring and 2 hours of drilling. To ensure an adequate supply of air conditioners for a contract, at least 50 air conditioners should be manufactured. Electro-comp management also insists that no more than 60 and less than 15 fans be produced during this production period. In addition, management imposed a constraint on the total number of air conditioners and fans to be made not more than 100. During the next production period, 300 hours of wiring and 240 hours of drilling times are available. Each air conditioner sold yields a profit of $50. Each fan assembled may be sold for a $30 profit.
Formulate this production mix situation as an LP problem to find the best combination of air conditioners and fans that yields the maximum profit. Draw the constraints of the problem on a graph paper and highlight the feasible region there.
Find the maximal profit solution to the problem by the graphical method.
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