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29 July, 08:38

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?

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  1. 29 July, 08:58
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    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.
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