Quest Manufacturing is building a product that costs $200 to start to build and $6.40 per unit sold. The company plans to sell each unit for $10.50. The company wrote an inequality to determine the minimum number of units (u) that it needs to sell to break even or make a profit on the product. 10.50u ≥ 200 6.40u What is the minimum amount of units that the company needs to sell to break even or make a profit on the product?

Question

Mathematics

Wyatt Casey

3 April, 12:56

Quest Manufacturing is building a product that costs $200 to start to build and $6.40 per unit sold. The company plans to sell each unit for $10.50. The company wrote an inequality to determine the minimum number of units (u) that it needs to sell to break even or make a profit on the product. 10.50u ≥ 200 6.40u What is the minimum amount of units that the company needs to sell to break even or make a profit on the product?

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Answers (1)

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Johnny Burke · Answer 1

49 units

Step-by-step explanation:

10.50u ≥ 200 + 6.40u solve for u ...

4.10u ≥ 200 (subtract 6.40u to both sides)

u ≥ 200/4.10 (divide both sides by 4.10)

u ≥ 48.78

Any number of units greater than 48.78, but they can't sell parts of a unit, so 49 is the minimum number of units that need to be sold to make a profit