Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S′(x), where x is the number of years of operation of the machine, while producing a rate of annual costs (in dollars) given by the function C′(x). S'(x)=212-x2, C'(x)=x2+6/5 x a. For how many years will it be profitable to use this new machine? b. What are the net total savings during the first year of use of the machine? c. What are the net total savings over the entire period of use of the machine?

Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S′(x), where x is the number of years of operation of the machine, while producing a rate of annual costs (in dollars) given by the function C′(x). S'(x)=212-x2, C'(x)=x2+6/5 x a. For how many years will it be profitable to use this new machine? b. What are the net total savings during the first year of use of the machine? c. What are the net total savings over the entire period of use of the machine?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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