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18 January, 21:48

If p (x) = 8 + 6 x - 4 x 2 p (x) = 8+6x-4x2 represents the profit in selling x x thousand boombotix speakers, how many speakers should be sold to maximize profit?

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  1. 18 January, 23:04
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    For this case we have the following equation:

    p (x) = 8 + 6x-4x2

    We must derive the equation to find the maximum of the function.

    We have then:

    p ' (x) = 6-8x

    We match zero:

    6-8x = 0

    We clear x:

    8x = 6

    x = 6/8

    x = 3/4

    x = 0.75 speakers

    Answer:

    should be sold 0.75 thousand boombotix speakers to maximize profit
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