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Formulation - LP Modeling J P , English athlete who frequently visits the US, is allowed to return with a limited number of consumer items

Formulation - LP Modeling

J P, English athlete who frequently visits the US, is allowed to return with a limited number of consumer items not generally available in UK.The items, which he carries in a small knapsack, cannot exceed a weight of 25 Kilograms (5,000 grams). Once home, J P sells his booty at highly inflated prices. His four most popular items are denim jeans, silk shirts, portable CD players, and heavy metal music CD's. If he brings any CD Players, he needs to bring back at least twice that many Music CDs (or what is there to play? About half of his customers want silk shirts with their jeans so J P needs to satisfy this demand. Finally, English customs gets suspicious if a traveler brings in too many of electronic products, so J P limits the number of CD Players he carries to three.The weight (in grams) and profit (in USD) of these items are shown in the table here:

Weight Profit
Jeans 1,500 2,000
Silk Shirts 500 1,250
CD Player 900 1,500
Music CD 250 750

Formulate an LP program for J P that will select a mix of items for him to take home that will maximize his profits. Be sure to define your decision variables and label your constraints.

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