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Math Help - function problem

  1. #1
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    function problem

    A company sell x units of a product whose profit is given by the function P(X)=20X-X^2

    A) how many units should the business sell in order to maximize profits = 10

    B)How much is the maximum profit = 300

    C) What is the maximum number of units the business can sell to make a profit



    p(x)=-x^2+20x


    -B
    x= 2A

    X= -20 = 10 P(10) = -10^2+ 20(10) = P(10)= 100 + 200 = 300
    2(-1)



    Can anyone help me get the answer to C and check my answers please
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  2. #2
    MHF Contributor
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    Quote Originally Posted by waterboy View Post
    A company sell x units of a product whose profit is given by the function P(X)=20X-X^2

    A) how many units should the business sell in order to maximize profits = 10

    B)How much is the maximum profit = 300

    C) What is the maximum number of units the business can sell to make a profit



    p(x)=-x^2+20x


    -B
    x= 2A

    X= -20 = 10 P(10) = -10^2+ 20(10) = P(10)= 100 + 200 = 300
    2(-1)



    Can anyone help me get the answer to C and check my answers please
    Hi

    A) OK
    B) According to A, max profit is given by P(10)=100
    C) -X+20X = X(-X+20)
    X being obviously positive P(X) is positive if -X+20 is positive therefore X less than 20 which is the max number of units the business can sell to make a profit
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