If P(x)=6+9x−5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize pro

If P(x)=6+9x−5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize profit?

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  1. The number of speakers that should be sold to maximize profit is 0.9

    Vertex of a quadratic equation

    Given the function that represents the profit made in selling x thousand Boombotix speakers expressed as:
    P(x)=6+9x−5x^2
    In order to maximize the profit, p'(x) = 0, hence;
    P'(x) =9 – 10x
    0 = 9 – 10x
    x = 9/10
    Hence the number of speakers that should be sold to maximize profit is 0.9
    Learn more on vertex here: https://brainly.com/question/21191648
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