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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)=94-x², C'(x)=x² + 11 3*. a. For how many years will it be profitable to use this new machine? The number of profitable years is. b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is $. (Round to the nearest dollar as needed.) c. What are the net total savings over the entire period of use of the machine? The net total savings over the entire period of use of the machine is $. (Round to the nearest dollar as needed.)

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)=94-x², C'(x)=x² + 11 3*. a. For how many years will it be profitable to use this new machine? The number of profitable years is. b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is $. (Round to the nearest dollar as needed.) c. What are the net total savings over the entire period of use of the machine? The net total savings over the entire period of use of the machine is $. (Round to the nearest dollar as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) 11 S'(x) = 94-x², C'(x)=x² + x 3 **** a. For how many years will it be profitable to use this new machine? The number of profitable years is b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is $. (Round to the nearest dollar as needed.) c. What are the net total savings over the entire period of use of the machine? The net total savings over the entire period of use of the machine is $. (Round to the nearest dollar as needed.)
Transcribed Image Text: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) 11 S'(x) = 94-x², C'(x)=x² + x 3 **** a. For how many years will it be profitable to use this new machine? The number of profitable years is b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is $. (Round to the nearest dollar as needed.) c. What are the net total savings over the entire period of use of the machine? The net total savings over the entire period of use of the machine is $. (Round to the nearest dollar as needed.)
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