12.1 Assume an economy of two firms and two consumers. The two firms pollute. Firmone has a marginal savings function of MS₁(e) = 5 - e where e is the quantity of emissionsfrom the firm. Firm two has a marginal savings function of MS2(e) = 8 - 2e. Each of thetwo consumers has marginal damage MD(e):=e, where e in this case is the total amountof emissions the consumer is exposed to.a. Graph the firm-level and aggregate marginal savings functions.b. Graph the aggregate marginal damage function.c. What is the optimal level of pollution, the appropriate Pigovian fee, and emissions fromeach firm?

MS1(e) = 5 - e is the marginal savings function for Firm 1 .MS2(e) = 8 - 2e is the marginal…

Answered: 12.1 Assume an economy of two firms and…

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter10: Externalities

Section: Chapter Questions

Problem 10PA

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Refer to Table 12.2. The externality created by the refrigerator production was 100. However, once we accounted for both the private and additional external costs, the market price increased by only 50. If the external costs were 100 why did the price only increase by 50 when we accounted for all costs?
Table 12.12, shows the supply and demand conditions for a firm that will play trumpets on the streets when requested. QS1 is the quantity supplied without social costs. QS2 is the quantity supplied with social costs. What is the negative externality in this situation? Identify the equilibrium price and quantity when we account only for private costs, and then when we account for social costs. How does accounting for the externality affect the equilibrium price and quantity?
Do market demand curves reflect positive externalities? Why or why not?
What is a pollution charge and what incentive does it provide for a firm to take external costs into account?
How can high-income countries benefit from covering much of the cost of reducing pollution created by low-income countries?
Consider the case of global environmental problems that spill across international borders as a prisoners dilemma of the sort studied in Monopolistic Competition and Oligopoly. Say that there are two countries, A and B. Each country can cheese whether to protect the environment, at a cost of 10, or not to protect it, at a cost of zero. If one country decides to protect the environment, there is a benefit of 16, but the benefit is divided equally between the two countries. If both countries decide to protect the environment, there is a benefit of 32, which is divided equally between the two centuries. In Table 12.10, fill in the costs, benefits, and total payoffs to the countries of the following decisions. Explain why, without some international agreement, they are likely to end up with neither country acting to protect the environment.
Show the market for cigarettes in equilibrium, assuming that there are no laws banning smoking in public. Label the equilibrium private market price and quantity as Pm and Qm. Add whatever is needed to the model to show the impact of the negative externality from second-hand smoking. (Hint: In this case it is the consumers, not the sellers, who are creating the negative externality.) Label the social optimal output and price as Fe and Qe. On the graph, shade in the deadweight loss at the market output.
Suppose you want to put a dollar value on the external costs of carbon emissions from a power plant. What information or data would you obtain to measure the external [not social] cost?
A country called Sherwood is very heavily covered with a forest of 50,000 trees. There are proposals to clear some of Sherwoods forest and grow com, but obtaining this additional economic output will have an environmental cost from reducing the number of trees. Table 12.11 shows possible combinations of economic output and environmental protection. Sketch a graph of a production possibility frontier with environmental quality on the horizontal axis, measured by the number of trees, and the quantity of economic output, measured in corn, on the vertical axis. Which choices display productive efficiency? How can you tell? Which choices show allocative efficiency? How can you tell? In the choice between T and R, decide which one is better. Why? In the choice between T and S, can you say which one is better, and why? If you had to guess, which choice would you think is more likely to represent a command-and-control environmental policy and which choice is more likely to represent a market-oriented environmental policy, choice Q or S? Why?
Suppose that Sonys R. Is this a private or social benefit?
A city currently emits 15 million gallons (MG) of raw sewage into a lake that is beside the city. Table 12.13 shows the total costs (TC) in thousands of dollars of cleaning up the sewage to different levels, together with the total benefits (TB) of doing so. Benefits include environmental, recreational, health, and industrial benefits. Using the information in Table 12.13 calculate the marginal costs and marginal benefits of reducing sewage emissions for this City. What is the optimal level of sewage for this city? How can you tell?
In the Land of Purity, there is only one form of pollution, called gunk. Table 12.14 shows possible combinations of economic output and reduction of gunk, depending on what kinds of environmental regulations you choose. Sketch a graph of a production possibility frontier with environmental quality on the horizontal axis, measured by the percentage reduction of gunk, and with the quantity of economic output on the vertical axis. Which choices display productive efficiency? How can you tell? Which choices show allocative efficiency? How can you tell? In the choice between K and L, can you say which one is better and why? In the choice between K. and N, can you say which one is better, and why? If you had to guess, which choice would you think is move likely to represent a command-and-control environmental policy and which choice is more likely to represent a market-oriented environmental policy, choice L or M? Why?

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