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    Marginal Cost of Food Processors

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    The total cost (in dollars) of producing 'x' food processors is
    C(x)=2400 + 60x - 0.7x^2
    (a) Exact cost of producing the 41st processor = 3.3

    The part that I do not understand how to do:
    (b) Use the marginal cost to approximate the cost of producing the 41st food processor.

    I know I start off with:
    C'(x)=(d/dx) (2400 + 60x - 0.7x^2), but not sure how I work it out from here.

    Thanks!

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    https://brainmass.com/math/basic-calculus/marginal-cost-food-processors-295137

    Solution Preview

    Marginal Cost
    The total cost (in dollars) of producing 'x' food processors is
    C(x)=2400 + 60x - 0.7x^2
    (a) Exact cost of producing the 41st processor = 3.3

    The ...

    Solution Summary

    This solution explains how to calculate the marginal cost of food processors using a given linear equation.

    $2.19