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. A jewelry store makes necklaces and bracelets from gold and platinum. The stor

ID: 3022914 • Letter: #

Question

. A jewelry store makes necklaces and bracelets from gold and platinum. The store has 20 ounces of gold, 24 ounces of platinum. Each necklace requires 6 ounces of gold 3 ounces of platinum, whereas each bracelet requires 2 ounces of gold and 5 ounces of platinum. The store has to use a minimum of two ounces of gold. The demand for bracelet is no less than three. A necklace earns $375 in profit and a bracelet, $225. The ration between necklace and bracelet is 1 to 2. Formulate a linear programming model for this problem with an appropriate objective function

Explanation / Answer

Maximization Z=375x1+225x2

Subject to constraints

6x1+2x2<=20 3x1+5x2<=24, x1<=2, x2>=3

  x1,x2>=0.