he 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. Identify the redundant constraints of the problem and show the range of the right-hand side for each of the redundant constraints. Identify whether the problems have single or multiple optimal solutions and find integer numbers of air conditioners and fans to maximize the profit. Check the range of the coefficient for each of the variables in the objective function by keeping the maximal profit solution the same
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.
Identify the redundant constraints of the problem and show the range of the right-hand side for each of the redundant constraints.
Identify whether the problems have single or multiple optimal solutions and find integer numbers of air conditioners and fans to maximize the profit.
Check the range of the coefficient for each of the variables in the objective function by keeping the maximal profit solution the same
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