The cost of pollution (in billions of dollars) originating in the paper industry is
CP = 2P + P2
where P is the quantity of pollutants emitted (in thousands of tons). The cost of pollution control (in billions of dollars) for this industry is
CC = 5 − 3P
a. What is the optimal level of pollution?
b. At this level of pollution, what is the marginal cost of pollution?
c. At this level of pollution, what is the marginal cost of pollution control?