The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(q) = 9,000 + 100q² where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost (in dollars) of this reduction. (a) If a firm is currently reducing its emissions by 30 pounds each day, what is the marginal cost of reducing emissions further? per one pound reduction in daily emissions $ Enter an exact number. (b) Government clean-air subsidies to the firm are based on the formula S(q) = 500q where q is again the reduction (in pounds per day) and S is the subsidy (in dollars). At what reduction level does the marginal cost surpass the marginal subsidy? pounds of pollutant per day (c) Calculate the net cost function, N(q) = C(q) - S(a), given the cost function and the subsidy above. N(a) Find the value of q that gives the lowest net cost. pounds of pollutant per day What is this lowest net cost? $ per day Compare your answer to that for part (b) and comment on what you find. This value is -Select- q in part (b).