Explanation Given: The given statement is At a certain factory,the total cost of manufacturing q units during the daily production run is C ( q ) = 0.2 q 2 + q + 900 Dollars. From experience it has been determined that approximately q ( t ) = t 2 + 100 t Units are manufactured during the first t hours of a production run. Calculation: The total cost of manufacturing q units is given by C ( q ) = 0.2 q 2 + q + 900 .... ( 1 ) And the number of units given by q ( t ) = t 2 + 100 t .... ( 2 ) differentiate the given total cost of manufacturing with respect to time and can be written as d C d t = d C d q d q d t .... ( 3 ) Differentiate equation (1) and (2) with respect to time d C d q = 0

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 62SP

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To determine the rate at which the total manufacturing cost is changing with respect to time one hour after production begins.

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Chapter 3, Problem 61SP

Chapter 3, Problem 63SP

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Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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the rate at which the total manufacturing cost is changing with respect to time one hour after production begins.

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To determine the rate at which the total manufacturing cost is changing with respect to time one hour after production begins.

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Chapter 3 Solutions