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
.

The solution to the inequality is
.

The company must sell at least
items to make a profit.

Inequality: 7.5x – 100 > 79.86 + 5.8x

Solution: x>106

The company must sell at least  106 items to make a profit.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Revenue: 7.5x – 100

Costs: 79.86 + 5.8x

To make a profit, a company’s revenue must be greater than its operating costs.

So:

7.5x – 100 > 79.86 + 5.8x

Solving for x (number of items sold)

7.5x-5.8x>79.86+100

1.7x >179.86

x>179.86/1.7

x> 105.8

x>106

The company must sell at least 106 items to make a profit.

Feel free to ask for more if needed or if you did not understand something.

mean, 40.6

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb