To make a profit, a company's revenue must be greater than its operating costs. The company's revenue is modeled by the expression 7.5x - 100, where x represents the number of items sold. The company's operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?

The inequality that will determine the number of items that need to be sold to make a profit is 7.5x-100> 79.86 + 5.8x

The solution to the inequality is: X>11.85 X105.8

The inequality that will determine the number of items that need to be sold to make a profit is: 12 100 106

Question

Eve

Mathematics

17 May, 05:02

To make a profit, a company's revenue must be greater than its operating costs. The company's revenue is modeled by the expression 7.5x - 100, where x represents the number of items sold. The company's operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?

The inequality that will determine the number of items that need to be sold to make a profit is 7.5x-100> 79.86 + 5.8x

The solution to the inequality is: X>11.85 X105.8

The inequality that will determine the number of items that need to be sold to make a profit is: 12 100 106

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Answers (2)

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Nathaly · Answer 1

Revenues > costs

7.5x - 100 > 79.86 + 5.8x

7.5x - 5.8x > 79.86 + 100

1.7x > 179.86

x > 179.86 / 1.7

x > 105.8

Then, the minimum number of objects that need to be sold is 106 (the smallest integer greater than 105.8)

Ernest · Answer 2

1. 7.5x - 100 > 79.86 + 5.8x

2. x > 105.8

3. 106