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. 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?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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3. Suppose the EPA wants to reduce pollution to the socially optimal level. Based on the data in the table below, what is the optimal level of pollution? Total cleanup Total Total (tons) Benefit Cost 50 2 85 18 3 115 28 4 140 39 5 160 51 179 63 7 197 76 8 214 90 230 105 10 245 120 11 259 137 12 273 156 13 286 177 14 299 200 15 311 225
5) Mr. Leon is at it again! He vandalized a public park. Now society has to clean it up. Based on the numbers below what would be the socially optimal amount that should be cleaned up? % cleaned total benefits total costs 25 $10,000 $1,000 50 $15,000 $4,000 75 $18,000 $7,000 100 $19,000 $10,000 *Show the marginal benefits and marginal costs, graphically.
No hand written solution Afirm has an industrial plant that emits pollutants into a town’s lake. The plant’s marginal abatement function is MAC= 200 – 0.5E and damages caused by its emissions are given by MD = 2E where emissions are in kg. per day. What is the socially efficient level of emissions from this plant? Illustrate this in a graph. As an incentive to reduce emissions to the socially efficient level, government offers to pay the firm for each kg. of emissions it abates per day from this plant. What subsidy per kg. should the government offer? If the plant abates to the socially efficient level of emissions, what total subsidy payment would the firm receive? Identify the area in your graph. How much better or worse off would the firm be compared to if it did no abating? Identify the area in your graph. What would be the net benefit to society if we pay the firm to reduce the plant’s emissions to the socially efficient level? Identify this area in your graph.
Which statement about a product with external costs must be correct? A. The consumption of the product has positive effects on third parties B. The private costs of its production exceed the social costs of its production. C. The production of the product has negative effects on third parties. D. The social costs of its production exceed the social benefits of its production.
The effect of external costs on the efficient level 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 5330 per ton. The foliowing graph shows the demand (private value) curve and the supply (private cost) curve for steel.
2. The PMB associated with a product's consumption is PMB-SMB = 360 - 4Q and the PMC = 6Q. The marginal external damage associated with this good's production is MD=2Q. To correct the externality, the government decides to impose a tax of $T per unit sold. | a) What is the level of production without pollution? b) What is the socially optimal level of production? c) What tax should the government set to achieve the social optimum? d) Explain the difference in the two values in (a) and (b)?
12. Give four (4) economic activities that generate both positive and negative externalities?
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 ?