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20 December, 08:22

Suppose a baby food company has determined that its total revenue R for its food is given by R=-x^3+75x^2+1800x where R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue?

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  1. 20 December, 09:06
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    60 units

    Step-by-step explanation:

    dR/dx = - 3x² + 150x + 1800 = 0

    x² - 50x - 600 = 0

    x² - 60x + 10x - 600 = 0

    x (x - 60) + 10 (x - 60) = 0

    (x - 60) (x + 10) = 0

    x = - 10, 60

    x = 60
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