Question

The profit a coat manufacturer makes each day is modeled by the equation P(x)= -x+120x-2000, where P is the profit and x is the price for each coat sold. For what values of x does the company make a profit?

Answer 1

The company makes a profit for values of x greater than 2000/119.

Step-by-step explanation:

To determine the values of x for which the company makes a profit, we need to find the values that make the profit function P(x) greater than zero. The profit function is given as P(x) = -x + 120x - 2000. To find the values of x that satisfy P(x) > 0, we can set up the inequality -x + 120x - 2000 > 0 and solve for x.

-x + 120x - 2000 > 0

Combine like terms: 119x - 2000 > 0

Add 2000 to both sides: 119x > 2000

Divide both sides by 119: x > 2000/119

Therefore, the company will make a profit for values of x greater than 2000/119.