Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 11 - Section 11.2 - A First Application: Marginal Analysis - Exercises - Page 805: 7b

Answer

(C)

Work Step by Step

The Marginal cost function: $C^{\prime}(x)$, represents the slope of the tangent to the cost function graph at x. The tangent to the graph at any point has nonnegative slope, 1. From x=0 to about x=110 items the slopes are getting less steep, from approximately $\$ 1000$/item to $\$ 0$/item, so they ( $C^{\prime}$ ) are decreasing on this interval. The minimal slope ( $C^{\prime}$ ) is about 0 when x is about 110. So, our choice is (C)
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