3. Assume that scientific studies provide you with the following information concerning the benefits and costs of sulfur dioxide emissions: Benefits of abating (reducing) emissions: MB=500-20A Costs of abating emissions: MC=200+5A where A is the quantity abated in millions of tons and the benefits and costs are given in dollars per ton. a. What is the socially efficient level of emissions abatement?

3. Efficiency in the presence of externalities Roses confer many external benefits on society: the beauty they add to a room or garden, the wonderful aroma they give off, and so on. Therefore, the market equilibrium quantity of roses is not equal to the socially optimal quantity. The following graph shows the demand for roses (their private value), the supply of roses (the private cost of producing them), and the social value of roses (the private value and external benefits).     Use the black point (plus symbol) to indicate the market equilibrium quantity. Next, use the purple point (diamond symbol) to indicate the socially optimal quantity.

6. A paper mill discharges chemicals into a river that washes the shores of a downstream resort area. The private cost, social cost, and marginal benefit associated with the production of paper are given by the following equations: PMC = 5 + Q, SMC = 10 + 2Q, and MB = 35 -0.5Q. a. Provide a labelled diagram to illustrate how the competitive free market will not produce the socially optimal amount of output. b. Illustrate the efficiency loss. C. Illustrate how a per-unit tax could be used to correct this problem.

5. The effect of negative externalities on the optimal quantityof consumption Consider the market for paper. Suppose that a paper factory dumps toxic waste into a nearby river, creating a negative externality for those living downstream from the factory. Producing an additional ton of paper imposes a constant external cost of $210 per ton. The following graph shows the demand (private value) curve and the supply (private cost) curve for paper. Use the purple points (diamond symbol) to plot the social cost curve when the external cost is $210 per ton. PRICE (Dollars per ton of paper) 700 630 560 490 420 350 280 210 140 70 0 0 ¶¶ 1 O 2 O 3 4 5 QUANTITY (Tons of paper) The market equilibrium quantity is 0 ☐ Supply (Private Cost) 6 Demand (Private Value) 7 Social Cost ? tons of paper, but the socially optimal quantity of paper production is To create an incentive for the firm to produce the socially optimal quantity of paper, the government could impose a of paper. tons. per ton

3. The effect of negative externalities on the optimal quantity of consumption Consider the market for steel. Suppose that a steel manufacturing plant dumps toxic waste into a nearby river, creating a negative externality for those living downstream from the plant. Producing an additional ton of steel imposes a constant external cost of $140 per ton. The following graph shows the demand (private value) curve and the supply (private cost) curve for steel. Use the purple points (diamond symbol) to plot the social cost curve when the external cost is $140 per ton. Sac Cont O Say Cet Demand P v QUANTITY (araf ste The market equilibrium quantity is tons of steel, but the socially optimal quantity of steel production is_ tons. To create an incentive for the firm to produce the socially optimal quantity of steel, the government could impose a ▼ of5 per ton of steel. d al anid

2. Efficiency in the presence of externalities Trucks impose many external costs on society: heavy air and noise pollution, traffic safety issues and road congestion, and so on. Therefore, the market equilibrium quantity of diesel trucks does not equal the socially optimal quantity. The following graph plots the demand for diesel trucks (their private value), the supply of diesel trucks (the private cost of producing them), and the social cost of diesel trucks, including both the private cost and external costs. Use the black point (plus symbol) to indicate the market equilibrium quantity. Next, use the purple point (diamond symbol) to indicate the socially optimal quantity. PRICE OF DIESEL TRUCKS Social Cost Supply (Private Cost) Demand (Private Value) QUANTITY OF DIESEL TRUCKS + Market Equilibrium ■ Socially Optimal Level ?