Question

he revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50. If 75 pairs of jeans are sold, what is the company’s profit?

Answer 1

So, the company profit if 75 pairs of jeans are sold is $1450

Explanation:

The number of pairs of jeans that have been sold is represented by x

We are given

The profit is the difference between the revenue and the cost , 20x-50

Let's assume profit function as P(x)

`P(x)=20x-50`

There are 75 pairs of jeans

so, x=75

we can plug x=75 and find profit

`P(75)=20* 75-50`

`P(75)=1500-50`

`P(75)=1450`

So, the company profit if 75 pairs of jeans are sold is $1450