Question

The 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

Answer:

The company’s profit is $1450.

Step-by-step explanation:

The revenue, in dollars, of a company that produces jeans can be modeled by

$R(x)=2x^2+17x-175$

The cost, in dollars, of producing the jeans can be modeled by

$C(x)=2x^2-3x-125$

The profit is the difference between revenue and cost.

$Profit=Revenue-Cost$

$P(x)=R(x)-C(x)$

$P(x)=2x^2+17x-175-2x^2+3x+125$

$P(x)=20x-50$

If 75 pairs of jeans are sold, then the company’s profit is

$P(x)=20(75)-50=1450$

Therefore the company’s profit is $1450.