Consider the marginal cost function C'(x) = 0.12x² - 2x + 140. a. Find the additional cost incurred in dollars when production is increased from 2 units to 6 units. b. If C(2)=443, determine C(6) using your answer in (a).

Consider the marginal cost function C'(x) = 0.12x² - 2x + 140. a. Find the additional cost incurred in dollars when production is increased from 2 units to 6 units. b. If C(2)=443, determine C(6) using your answer in (a).

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

6.2 9

Consider the marginal cost function C'(x) = 0.12x² - 2x + 140.
a. Find the additional cost incurred in dollars when production is increased from 2 units to 6 units.
b. If C(2)=443, determine C(6) using your answer in (a).

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Step 1: Define the problem.

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Step 2: Find the additional cost

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Step 3: Determine C(6) by using answer in part (a).

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