A factory has developed a new process that will produce an increased savings (in thousands of dollars) of
S^(')(t)=100-t^(2)
where
t
is the number of years. The new process produces an increase cost of
C^(')(t)=t^(2)-10t+28
. a) When will it no longer be profitable to use the new process? b) Find the net total savings.

Question

A factory has developed a new process that will produce an increased savings (in thousands of dollars) of

S^(')(t)=100-t^(2)

where

t

is the number of years. The new process produces an increase cost of

C^(')(t)=t^(2)-10t+28

. a) When will it no longer be profitable to use the new process? b) Find the net total savings.

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