Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds. Kings will net a profit of $250 on each bracelet, which is made with 2 rubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5 rubies, 7 diamonds, and 3 emeralds. How many of each should Kings make to maximize its profit?

Question

Callahan

Business

8 February, 03:24

Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds. Kings will net a profit of $250 on each bracelet, which is made with 2 rubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5 rubies, 7 diamonds, and 3 emeralds. How many of each should Kings make to maximize its profit?

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Answers (1)

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Hayden Moran · Answer 1

129 bracelets and 59 necklaces will make profit of $61,750

Explanation:

Kings departments store wants to maximize profit by making a combination of its two products necklaces and bracelets. The King store should use a strategy so that it can generate maximum profit with its available rubies, diamonds and emeralds.

$250a + $500b = Maximum Profit

For rubies : 2a + 5b = 625

For Diamonds : 3a + 7b = 800

For Emeralds: 4a + 3b = 700

Solving the equation we get maximum profit value of $61,750.