A factory installs new machinery that saves S(x) = 1800- 80x dollars per year, where x is the number of years since installation. However, the cost maintaining the new machinery is C(x) = 100x dollars per year. $ per year 1800 $ savings S=1800 80 x net savings cost C = 100 x Year (a) Find the year x at which the maintenance cost C(x) will equal the savings S(x). (At this time, the new machinery should be replaced. Round your answer to the nearest whole number.) years. X = (b) Find the accumulated net savings (in dollars) [savings S(x) minus cost C(x)] during the period from t = 0 to the replacement time found in part (a). (Round your answer to the nearest whole number.)

A factory installs new machinery that saves S(x) = 1800- 80x dollars per year, where x is the number of years since installation. However, the cost maintaining the new machinery is C(x) = 100x dollars per year. $ per year 1800 $ savings S=1800 80 x net savings cost C = 100 x Year (a) Find the year x at which the maintenance cost C(x) will equal the savings S(x). (At this time, the new machinery should be replaced. Round your answer to the nearest whole number.) years. X = (b) Find the accumulated net savings (in dollars) [savings S(x) minus cost C(x)] during the period from t = 0 to the replacement time found in part (a). (Round your answer to the nearest whole number.)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

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A factory installs new machinery that saves S(x) = 1800
dollars per year.
y
$ per year
1800
savings
S=1800- 80 x
net
savings
cost
C = 100 x
Year
80x dollars per year, where x is the number of years since installation. However, the cost of maintaining the new machinery is C(x) : = 100x
X
(a) Find the year x at which the maintenance cost C(x) will equal the savings S(x). (At this time, the new machinery should be replaced. Round your answer to the nearest whole number.)
X =
years
(b) Find the accumulated net savings (in dollars) [savings S(x) minus cost C(x)] during the period from t = 0 to the replacement time found in part (a). (Round your answer to the nearest whole
number.)

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