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3 January, 01:49

The profit of a company is given by the function P (x) = 50 + 36x - x^2 where x is the amount (in thousands) spent on advertising. Find the amount spent on advertising that will bring in maximum profit. (6 marks)

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  1. 3 January, 02:10
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    18 thousand

    Step-by-step explanation:

    The vertex of quadratic ax² + bx + c is found at the x-value ...

    x = - b / (2a)

    Here, that means the x-value of the maximum is ...

    x = (-36) / (2 (-1)) = 18

    18 thousand spent on advertising will bring in maximum profit.
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