Part II: The CEO of SWNN Chemical determines they will use the new machine as long as it is profitable. Once the cost increases exceed the savings, they discontinue all use of the machine. Use the functions for the rates of change of savings and cost to determine the number of years that the company use the device. SWNN Chemical will use the new machine for a total of years before they discontinue it. Part Il: Find SWNN Chemical's total net savings for the entire time span where they use the machine (beginning when it is first put into use and ending at the point as determined above). Set up the definite integral that will be used to answer the question, then continue to fill in the blanks to perform the steps evaluate the integral and interpret your answer. Overall net savings= dx Considering the entire time span where they will use the machine, SWNN Chemical's overall net savings will be $

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
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Part Il:
The CEO of SWNN Chemical determines they will use the new machine as long as it is profitable. Once the cost increases exceed the savings, they will
discontinue all use of the machine. Use the functions for the rates of change of savings and cost to determine the number of years that the company will
use the device.
SWNN Chemical will use the new machine for a total of
years before they discontinue it.
Part IlI:
Find SWNN Chemical's total net savings for the entire time span where they use the machine (beginning when it is first put into use and ending at the
point as determined above). Set up the definite integral that will be used to answer the question, then continue to fill in the blanks to perform the steps to
evaluate the integral and interpret your answer.
Overall net savings =
%3D
dx
Considering the entire time span where they will use the machine, SWNN Chemical's overall net savings will be $
Note: You can aan
Transcribed Image Text:Part Il: The CEO of SWNN Chemical determines they will use the new machine as long as it is profitable. Once the cost increases exceed the savings, they will discontinue all use of the machine. Use the functions for the rates of change of savings and cost to determine the number of years that the company will use the device. SWNN Chemical will use the new machine for a total of years before they discontinue it. Part IlI: Find SWNN Chemical's total net savings for the entire time span where they use the machine (beginning when it is first put into use and ending at the point as determined above). Set up the definite integral that will be used to answer the question, then continue to fill in the blanks to perform the steps to evaluate the integral and interpret your answer. Overall net savings = %3D dx Considering the entire time span where they will use the machine, SWNN Chemical's overall net savings will be $ Note: You can aan
SWNN Chemical decides to install a new processing machine that has just come on the market. Their accounting team determines that the rate of
change of the savings generated by using the new machine will be given by
s'(x) = 95.6 – 0.42x
thousand dollars per year, where x is the number of years that the machine has been in use. However, the head of maintenance for the plant projects that
the rate of increase in costs while using the new machine will be
c'x) = 0.42x + 1.16x
thousand dollars per year, where x is the number of years that the machine has been in use. Use this information to complete the three parts below.
Part I:
Find SWNN Chemical's net savings from the end of the 2nd year to the end of the 4th year using the new machine. Set up the definite integral that will be
used to answer the question, then continue to fill in the blanks to perform the steps to evaluate the integral and interpret your answer.
Net savings =
dx
Starting at the end of the 2nd year using the machine and going through the end of the 4th year using the machine, SWNN Chemical's net savings will be
Part I:
The CEO of SWNN Chemical determines they will use the new machine as long as it is profitable. Once the cost increases exceed the savings, they will
discontinue all use of the machine. Use the functions for the rates of change of savings and cost to determine the number of years that the company will
use the device
Transcribed Image Text:SWNN Chemical decides to install a new processing machine that has just come on the market. Their accounting team determines that the rate of change of the savings generated by using the new machine will be given by s'(x) = 95.6 – 0.42x thousand dollars per year, where x is the number of years that the machine has been in use. However, the head of maintenance for the plant projects that the rate of increase in costs while using the new machine will be c'x) = 0.42x + 1.16x thousand dollars per year, where x is the number of years that the machine has been in use. Use this information to complete the three parts below. Part I: Find SWNN Chemical's net savings from the end of the 2nd year to the end of the 4th year using the new machine. Set up the definite integral that will be used to answer the question, then continue to fill in the blanks to perform the steps to evaluate the integral and interpret your answer. Net savings = dx Starting at the end of the 2nd year using the machine and going through the end of the 4th year using the machine, SWNN Chemical's net savings will be Part I: The CEO of SWNN Chemical determines they will use the new machine as long as it is profitable. Once the cost increases exceed the savings, they will discontinue all use of the machine. Use the functions for the rates of change of savings and cost to determine the number of years that the company will use the device
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