Application of antiderivatives. 1.Suppose that when it is t years old ,a particular industrial machine generates

revenue at the rate R'(t) = 5,000- 20t² pesos per year (Marginal Revenue )

and that operating and servici8ng costs related to the machine accumulate at the

rate C'(t) = 2,000 + 10t² pesos per year (Marginal Cost)

a. How many pass before the profitability of the machine begins to decline?

b. Compute the net earnings generated y the machine over the time period

Determined in part(a).