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?

charge at-least x = $16.81/coat to expect a profit

Step-by-step explanation:

Given:-

- The Profit (P) is modeled as a function of price of each coat sold (x):

                                  P(x) = -x + 120x - 2000

Find:-

For what values of x does the company make a profit?

Solution:-

- For the company to make a profit it must be greater than zero.

                                 P(x) > 0

- We will use the inequality and evaluate for what values of (x) does the company makes a profit:

                                 -x + 120x - 2000 > 0

                                 119x > 2000

                                 x > 2000/119

                                 x > $16.81 / coat

- The coat manuface each coat for manufacturer must charge at-least x = $16.81/coat to expect a profit.