Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) = 1800 + 4x + 0.06x2 + 0.0001x³, (a) Find the marginal cost function. (b) Find C'(100). C'(100) = What does this predict? O The exact cost of the 101st pair of jeans. O The approximate cost of the 101st pair of jeans. O The exact cost of the 100th pair of jeans. O The exact cost of the 99th pair of jeans. O The approximate cost of the 100th pair of jeans. (c) Find the difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans. (Round your answer to twa decimal nlacor)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is
C(x) = 1800 + 4x + 0.06x² + 0.0001x3.
(a) Find the marginal cost function.
(b) Find C'(100).
C'(100) =
%3D
What does this predict?
O The exact cost of the 101st pair of jeans.
O The approximate cost of the 101st pair of jeans.
O The exact cost of the 100th pair of jeans.
O The exact cost of the 99th pair of jeans.
O The approximate cost of the 100th pair of jeans.
(c) Find the difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans. (Round your answer to two decimal places.)
%$4
Transcribed Image Text:Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) = 1800 + 4x + 0.06x² + 0.0001x3. (a) Find the marginal cost function. (b) Find C'(100). C'(100) = %3D What does this predict? O The exact cost of the 101st pair of jeans. O The approximate cost of the 101st pair of jeans. O The exact cost of the 100th pair of jeans. O The exact cost of the 99th pair of jeans. O The approximate cost of the 100th pair of jeans. (c) Find the difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans. (Round your answer to two decimal places.) %$4
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