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Math Help - Check my work

  1. #1
    Raj
    Raj is offline
    Junior Member
    Joined
    Sep 2007
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    Check my work

    Items are sold for $45 each. 195 people are willing to buy them. For every $5 increase in price, 5 fewer people are willing to buy the item. Determine the maximum revenue and the number of price increases.

    Let x be the number of increments.
    Let y be the total cost.

    y=(195-5x)(45+5x)
    y=-25x^2+750x+8775
    y=-25(x^2-30x+225) (-225)(-25)+(8775)
    y=-25(x-15)^2+14400

    Where total revenue = $14400
    Where total numer of increases = 15
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
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    1,631
    Very good!
    Specially if the -225(-25) were written not too close to the -25(x^2 -30x +225).
    As posted, the two terms appeared multiplied to each other.
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