The percent p of impurities that can be removed from the waste water of a manufacturing process at a cost of C dollars is given by p = 100C / 8100 + 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) Find any horizontal asymptotes.
(d) Can 100% of the pollution be removed?