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13 August, 22:58

A company earns a weekly profit of p dollars by selling x items, according to the equation p (x) = - 0.5x^2+40x-300 how many items does the company have to sell each week to maximize its profit

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  1. 13 August, 23:04
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    Legit way is vertex form

    easy way is this

    x value of vertex in form

    f (x) = ax^2+bx+c is - b/2a

    the y value is f (x value of vertex)

    so

    p (x) = - 0.5x^2+40x-300

    x value of vertex is - 40 / (2*-0.5) = - 40/-1=40

    max profit selling 40 per week

    profit would be 500
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