Question: Suppose that when it is \(t\) years old a particular industrial machine generates revenue at the rate \(R'(t)=6,025-8{{t}^{2}}\) dollars per year, and that operating and servicing costs accumulate a the rate of \(C'(t)=4,681+13{{t}^{2}}\) dollars per year

(a) How many years pass before the profitability of the machine begins to decline?

(b) What are the net earnings?

c) Graph it