The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by p = 100cC / 7300 + C
(a) Find any C-values at which the rate of change of p with respect to C does not exist. Make sure that these make sense in the problem.
(b) Find C-values for which p is increasing.
(c) If there is a horizontal asymptote, find it.
(d) Can 100% of the pollution be removed?