create the following as a Linear Programming Model indicating the problem constraints, decision variables and the objective function.   A Furniture company makes two types of couch sets, a premium leather set and a regular leather set. the premium leather takes two hours to cut but it takes 1 hour to cut the leather for a regular. It takes 6 hours to sew the premium leather together, and 4 hours to sew regular leather. It takes 2 hours to recolour premium set, and 2 hours to recolour regular. $30 profit is gathered from each premium set sold, and $10 profit is made from each regular set that is sold. If there is a maximum of 10 hours for cutting, and 36 hours for sewing, and a minimum of 4 hours to recolour, calculate the number of regular and premium couch sets they need to make in order to maximize on profit

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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create the following as a Linear Programming Model indicating the problem constraints, decision variables and the objective function.  

A Furniture company makes two types of couch sets, a premium leather set and a regular leather set. the premium leather takes two hours to cut but it takes 1 hour to cut the leather for a regular. It takes 6 hours to sew the premium leather together, and 4 hours to sew regular leather. It takes 2 hours to recolour premium set, and 2 hours to recolour regular. $30 profit is gathered from each premium set sold, and $10 profit is made from each regular set that is sold. If there is a maximum of 10 hours for cutting, and 36 hours for sewing, and a minimum of 4 hours to recolour, calculate the number of regular and premium couch sets they need to make in order to maximize on profit?

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