Suppose that the cost C, in dollars, of processing the exhaust gases at an industrial site to ensure that only p percent of the particulate pollution escapes is given by
C(p) = 8100(100 - p) / p
(a) Find the rate of change of cost C with respect to the percent of particulate pollution that escapes when p = 2 (percent).
(b) Write a sentence interpreting your answer to part (a).