A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate (in thousands of dollars per year) of S '(x) = 60–4x , where x is the number of years the equipment has been in place. There will be new costs associated with the equipment that are projected to be at a rate (in thousands of dollars per year) of C'(x) = x² +x+10 . To maximize savings, how long should this firm use the new equipment? What are the net savings (in thousands of dollars) over this period? Please show all integration by hand, though you can use fnInt to check your answer.

A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate (in thousands of dollars per year) of S '(x) = 60–4x , where x is the number of years the equipment has been in place. There will be new costs associated with the equipment that are projected to be at a rate (in thousands of dollars per year) of C'(x) = x² +x+10 . To maximize savings, how long should this firm use the new equipment? What are the net savings (in thousands of dollars) over this period? Please show all integration by hand, though you can use fnInt to check your answer.

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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