The cost of producing x units of a commodity per week is C(x) = 0.3x 3

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The cost of producing x units of a commodity per week is C(x) = 0.3x3 − 5x2 + 28x + 200

a. Find the marginal cost C(x), and sketch its graph along with the graph of C(x) on the same coordinate plane.

b. Find all values of x where C"(x) = 0. How are these levels of production related to the graph of the marginal cost?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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