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?

Profit generated in selling 75 pairs of jeans will be $1450

Step-by-step explanation:

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

(2x² + 17x - 175).

The cost of producing the jeans can be modeled by (2x² - 3x - 125)

Therefore, profit of selling = revenue generated - cost of production

                                            = (2x² + 17x - 175) - (2x²- 3x - 125)

                                            = 2x² + 17x - 175 - 2x² + 3x + 125

                                            = 20x - 50

If 75 pairs of jeans are sold, then company's profit will be = 20×75 - 50

= 1500 - 50

= $1450

The profit generated by selling 75 pairs of jeans will be $1450.