3. The total (abatement) cost for cutting down on CO2 by R is C(R) = 7R² + 10R. The total benefit of CO2 abatement to the society is B = 100R.. Compute the socially optimal level of abatement (pollution control).
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- The equations below represent the demand and supply curves for annual gym memberships in a city. qD= 500 − 2p, qS=0.5p − 50 Because physical activity leads to better health, the city estimates that each annual gym membership saves $30 of public spending on healthcare per year (a positive externality). a. In a graph, show the market and the socially optimal equilibria for annual gym memberships in this city. Does the market equilibrium result in under- or over-consumption of memberships? What is the deadweight loss associated with the market failure in this situation? b. Would you recommend this city to implement a subsidy (a negative Pigouvian tax) to correct this market failure? If so, how much would be the subsidy per unit? What would be the effects of your proposed policy on the quantity, price, and aggregate welfare?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 225Please label the graph point where the socially optimal equilibrium is
- Provide a reason why the marginal damages from some emissions may be increasing with the level of emissions (like in the figure above). Suppose the unregulated level of emissions is E3. What area(s) represent the total damages from unregulated emissions? Suppose emissions levels drop from E3 to E1. What area(s) represent the total benefits from the emissions reduction from E3 to E1? What point denotes the marginal damage from emissions at E2?MC Qu. 04-173 Refer to the provided graph. Suppose... Price 0 Quantity S Refer to the provided graph. Suppose consumers do not fully appreciate the benefits of the product whose market is shown in the graph. If an external agency is able to provide full information to consumers about the benefits of the product, thenNo 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.
- (12) Consider a market with social marginal benefit (quantity demanded) given by SMB = 600 – Q and private marginal cost (quantity supplied) given by PMC = Q. Social marginal cost is given by SMC = 200 + Q. Assume SMB = PMB. (a) Graph these SMB, SMC, and PMC curves. (b) Find the market equilibrium price and quantity. (c) Find the socially optimal equilibrium price and quantity.Consider the table. Number of street lamps Marginal benefit (in $) 123 4 5 6 7 30 26 22 18 14 10 6 Suppose that a small town wants to install street lamps, which are nonrival in consumption and nonexcludable. Each of the 25 people in the town value street lamps according to the given schedule. Street lamps each cost $250 to install. Use this information to answer the questions. What is the socially optimal number of street lamps? Suppose that 20 of the 25 townspeople decide that they will not help pay for street lamps, and will instead enjoy (for free) the street lamps built by the other five people. What is the maximum number of street lamps that will be built by the remaining five people? Suppose the town government decides to build street lamps and pay for the street lamps through taxation. How much should each person be taxed to pay for the optimal number of street lamps if everyone is taxed equally? S I street lamps street lampsi need D,E,F subparts
- The public smoking of cigarettes generates costs to society from second-hand smoke, therefore, cigarette production imposes costs on people who do not smoke. Moreover, private consumption of cigarettes can start apartment building and wild fires that also impose costs on non-smokers. Luckily, fire extinguishers can help prevent the spread of fires.Please, Provide an Explanation for the Ranges/Point in the Follow (Encircled Below in Red. What Do the Ranges/Point Refer To & H They Calculated?) With Z representing the Level of Mitigation (Z): Marshland, MB = 3-Z Dampland, MB=4-2Z Wetland, MB 11-Z The Marginal Cost of Flood Mitigation (MC): MC=2+12Z a. What is the Socially Optimal Level of Z(Zopt)? Answer: From 0-2 MSB = [(3- Z)+(4- 2Z) + (11- Z)] = [(3+ 4+ 11)-(Z+2Z+Z)] = 18-4Z From 2-3 MSB=(3- Z) + (11- Z) = [(3 + 11)-(Z+Z)] = 14-2Z From 3-10-MSB = 11 - Z @11MSB=0A steel plant causes about 100 tons of pollution to be released for every 100 tons of steel. Every ton of pollution causes $4 worth of damage to the local town. The MC(Q)=27Q, What is the SMC(Q) for steel? O SMC(Q)=27Q+ 4Q O SMC(Q)=27Q+ 400 O SMC(Q)=27Q+ 4 O SMC(Q)=27Q+ 400Q