Sarah makes and sells pottery bowls. She has costs totaling $10,000 per year plus a cost of $7 for each bowl she makes. If she sells the bowls for $25 each, what is the minimum number she must sell each year to earn at least $25,000 profit?

Question

Mathematics

Guest

22 December, 15:18

Sarah makes and sells pottery bowls. She has costs totaling $10,000 per year plus a cost of $7 for each bowl she makes. If she sells the bowls for $25 each, what is the minimum number she must sell each year to earn at least $25,000 profit?

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Answers (2)

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Ball · Answer 1

She needs to sell at least 1,400 pottery bowls in order to get a $25,000 profit.

York · Answer 2

X = # of bowls

25x - (10,000 + 7x) ≥ 25,000

25x - 10,000 - 7x ≥ 25,000

18x ≥ 35,000

x ≥ 4,375 bowls

To make a minimum of a $25,000 profit, Sarah has to make at least 4,375 bowls every year.