The value V (in thousands of dollars) of an industrial machine is modeled by where N is

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The value V (in thousands of dollars) of an industrial machine is modeled by


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where N is the number of hours the machine is used each day. Suppose further that usage varies with time in such a way that


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where t is the number of months the machine has been in operation.


a. Over what time interval is the value of the machine increasing? When is it decreasing?


b. At what time t is the value of the machine the largest? What is this maximum value?

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Related Book For  answer-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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