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Math Help - Find Weekly Revenue

  1. #1
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    Find Weekly Revenue

    If a manufacturer charges q dollars each for footballs, then he can sell 3000 - 150q footballs per week. Find a polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is $8 for each football.

    This is the answer that it is showing r(q)= -150q^2 + 3000q, 14,400
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  2. #2
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    Quote Originally Posted by magentarita View Post
    If a manufacturer charges q dollars each for footballs, then he can sell 3000 - 150q footballs per week. Find a polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is $8 for each football.

    This is the answer that it is showing r(q)= -150q^2 + 3000q, 14,400
    Indeed

    You sell x footballs, your profit is x*q, with q Dollars for each football

    One football is 20$, you sell 8, you get 20$*8 = 160$

    The manufacturer sells 3000 - 150q = x footballs, he gets q$ a piece

    => (3000-150q)*q = -150q^2 + 3000q = R(q)

    Imagine q = 8$

    => R(q) = R(8) = -150*8^2 + 3000*8 = 14400

    -> 14400$
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  3. #3
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    ok...

    Quote Originally Posted by Rapha View Post
    Indeed

    You sell x footballs, your profit is x*q, with q Dollars for each football

    One football is 20$, you sell 8, you get 20$*8 = 160$

    The manufacturer sells 3000 - 150q = x footballs, he gets q$ a piece

    => (3000-150q)*q = -150q^2 + 3000q = R(q)

    Imagine q = 8$

    => R(q) = R(8) = -150*8^2 + 3000*8 = 14400

    -> 14400$
    Thank you so much. You are great.
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