A jewelry store is selling necklaces and bracelets. Each necklace yields a profit of $8 and each bracelet yields a profit of $6. It costs $3.50 and 11 minutes to create each necklace and $2.50 and 5 minutes to create each bracelet. The store has 880 available minutes and $330 available for production. The owner also estimates that the total demand will not exceed 120 units.

How many bracelets and necklaces should the owner sell?

Question

Serrano

Mathematics

24 May, 17:32

A jewelry store is selling necklaces and bracelets. Each necklace yields a profit of $8 and each bracelet yields a profit of $6. It costs $3.50 and 11 minutes to create each necklace and $2.50 and 5 minutes to create each bracelet. The store has 880 available minutes and $330 available for production. The owner also estimates that the total demand will not exceed 120 units.

How many bracelets and necklaces should the owner sell?

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Answers (1)

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Dallas Kemp · Answer 1

n = necklace

b = bracelet

n + b = 120

n = 120-b

3.50n + 2.50b = 330

11n + 5b = 880

3.5 (120-b) + 2.5b=330

420-3.5b + 2.5b = 330

420 - b = 330

-b = - 90

B = 90

N = 30

3.5*30 = 105

2.5*90 = 225

225 + 105 = 330

11*30 = 330

90*5 = 450

450 + 330 = 780

90 bracelets and 30 necklaces