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. How many hours per day will the machine be used 9 months from now? What will be the value of the machine at this time?

b. At what rate is the value of the machine changing with respect to time 9 months from now? Will the value be increasing or decreasing at this time?

Transcribed Image Text:

V(N) || 3N + 430 2/3 N + 1