sam sells necklaces for $10 each. Each necklace costs her $5 to make. She also has $5,000 in fixed costs per year for her jewelry business. How many necklaces must she sell in order to make a profit of $1,000 in one year? A. 600 B. 200 C. 100 D. 1200

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alexroserael alexroserael · Answer 1 · 2016-10-20T00:24:07+02:00

10x - 5x = 6000

10(1200) - 5(1200) = 6000

D. 1200 necklaces
Keep in mind the profits must equal $6000 dollars because of the $5000 fixed costs.

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eudora eudora · Answer 2 · 2019-05-10T21:57:38+02:00

Answer:

Option D. 1200

Step-by-step explanation:

The making cost of necklaces = $5.00 each

Selling price of necklaces = $10.00 each

Sam's fixed costs per year for her jewelry business = $5,000

Let x be the number of necklaces, she sells in order to make a profit of $1,000 in a year.

Cost price of x necklaces = 5x + 5000

Selling price of x necklaces = 10x

We know that Profit = selling price - cost price

Profit = 1000 = 10x - (5x + 5000)

1000 = 10x - 5x - 5000

1000 = 5x - 5000

5x = 1000 + 5000

5x = 6000

[tex]x=\frac{6000}{5}[/tex]

x = 1200

Sam must sell 1200 necklaces in order to make a profit of $1000.