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

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

Gold Platinum

Let demand of necklace = x 6 3

Let demand of bracelate = y 2 5

So,

Maximize Z = 375x+ 225y

Formulate,

x>= 3

2x= y

2x-y = 0

6x+2y<=20

3x+5y<=24

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