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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?

Respuesta :

meerkat18
The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,
                          P = 20x - 50
For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,
                        P = 20(75) - 50 = 1450
Thus, the company will make a profit of $1450 by production of 75 jeans. 

If 75 pairs of jeans are sold ,  the company’s profit is $1450 .

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that

The revenue, in dollars, of a company that produces jeans

2x² + 17x – 175.

The cost, in dollars, of producing the jeans

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

x = 75

Profit = 20 * 75 - 50

Profit = 1500 - 50 = $1450

If 75 pairs of jeans are sold ,  the company’s profit is $1450 .

To know more about Equation

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