Please assist with the given problem.
The cost of pollution (in billions of dollars) originating in the paper industry is
C_P = 2P + P^2
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
C_C = 5 - 3P
Q1. What is the optimal level of pollution?
Q2. At this level of pollution, what is the marginal cost of pollution?
Q3. At this level of pollution, what is the marginal cost of pollution control?