Suppose that the cost (in dollars) for a company to produce pairs of a new line

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Suppose that the cost (in dollars) for a company to produce ϰ pairs of a new line of jeans is

C(ϰ) = 2000 + 3ϰ + 0.01ϰ2 + 0.0002ϰ3

(a) Find the marginal cost function.

(b) Find C'(100) and explain its meaning. What does it predict?

(c) Compare C'(100) with the cost of manufacturing the 101st pair of jeans.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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