Problem

DEPRECIATION The value V(in thousands of dollars) of an industrial machine is modeled bywh...

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

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

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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Solutions For Problems in Chapter 3.1

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