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

profit=revenue-cost
revenue=2x^2+17x-175
cost=2x^2-3x-125

profit=2x^2+17x-175-(2x^2-3x-125)
profit=2x^2+17x-175-2x^2+3x+125
profit=20x-50


ok, so then when 75 pairs are sold that is when x=75

so
profit=20(75)-50
profit=1500-50
profit=1450
profit=$1450