There are two polluters in an industry with the following cost functions: MAC1 = 182 - 0.14E1 MAC2 = 144 - 0.06E2 The government establishes a tradable pollution permit system and gives each polluter 800 permits (1600 permits in total). What will be the net gain for Polluter 1 from the trade? %3D
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- Imagine a firm's marginal abatement cost function with existing technologies is: MAC = 30 – 2E. If the firm adopts new pollution abatement technologies, its marginal abatement cost function will be: MAC = 15 – E. With a tax on emissions of $6, the benefits of adopting the new technologies are $_ Answer:Firms in a polluting industry can be classified in two groups: newer firms with a cleaner technology that can abate pollution at a lower marginal cost MCLA = (1/2)aL and older firms with dirtier MCHA = aH, where ai is the level of abatement undertaken by firms of type i = L, H. The social marginal benefit of abating pollution from this particular industry is MBA= 120 - A, where A is the aggregate level of abatement in that industry. To design an efficient emissions standard, the government needs to determine which is the efficient abatement allocation (aL, aH). In order to do this, obtain a cost effective abatement allocation (aL, aH)that provides an aggregate abatement level A = aL + aH, and then proceed to determine the efficient level A (Hint: You should obtain that MCA = A=3)5B. Two textile mills, located across a river from each other, are polluting the river. The marginal costs of pollution reduction for each firm are MCE₁ = 4E₁ + 4 MCE2 = 4/3E2 + 4/3, where E is the reduction in pollution from unregulated levels. The associated marginal social benefit is estimated to be MSB = 10-E, where E = E₁ + E₂. a. What is the socially optimal level of water-pollution reduction? c. If instead the government imposed a standard requiring each firm to equally reduce the level of pollution to achieve the socially optimal solution in part (i), what are the costs for each firm?
- Firms in a polluting industry can be classified in two groups: newer firms with a cleaner technology that can abate pollution at a lower marginal cost MCLA = (1/2)aL and older firms with dirtier MCHA = aH, where ai is the level of abatement undertaken by firms of type i = L, H. The social marginal benefit of abating pollution from this particular industry is MBA= 120 - A, where A is the aggregate level of abatement in that industry. Suppose that in order to avoid the costly obtention of disaggregate information about individual firms' costs, the government just implements a uniform standard aui = A* / 2. Is this allocation efficient? If not, what is the deadweight loss?Suppose that a firm's marginal abatement cost function with existing technologies is MAC = 8 - E. If the firm adopts new pollution abatement technologies, then its marginal abatement cost function will become MAC = 4 - 0.5E. With an emissions tax of $2, the benefits of adopting the new technologies equal $_ Please round your final answer to two decimal places if necessary. Answer:Lecture: Externality - Pigou8. All-Leather is a tanning company located on Lake Michigan in Chicago. Its total cost functionis C(QA) = 125 + 8QA + 5QA2, where QA is leather production per week in thousands of pounds.a) If leather sells for $408 per thousand pounds, how much leather will All-Leather produce?How much profit does All-leather earn?Enjoy is a beverage company located on Lake Michigan near All-Leather in Chicago. Enjoy’sproduction of beverages is negatively affected by water pollution from All-Leather’s productionof leather. Enjoy’s total cost function to produce beverages isC(QE) = 10QE +3QE2 + 3QA2where QE is Enjoy’s weekly production of beverages, in thousandsof gallons and, as above, QA is All-Leather’s weekly production of leather.b) Is this an example of a pecuniary externality or a real externality? Explain.c) What is the extra cost to Enjoy from an additional thousand tons of leather production by AllLeather (i.e., the external marginal cost of an extra unit of QA…
- 1. A firm's marginal abatement cost function is given by MAC = 200-5E. Suppose that, after adopting new abatement technology, the firms marginal abatement function becomes MAC = 160-4E. Costs are in dollars per tonne and emissions are in tonnes per year. The firm is given 20 tradeable pollution permits (each permit allows it to emit one tonne of pollution) and the current market price per permit is $100. a)Given no change in the permit price how many tonnes of pollution will the firm emit? b)What will be the firms total abatement cost? Will it buy or sell permits and how many? c) What will be the net cost to the firm after trading? What will be the net gain to the firm from adopting the new abatement technologySuppose there are only two polluting firms, called A and B, with the following marginal abatement costs: 1602AA MACe=− and 100BB MACe=−, where A e represents firm A’s emissions in tons and B e represents firm B’s emissions in tons. Suppose the government wishes to ensure that the two firms together emit 60 tons of the pollutant and uses a Tradable Emission Permit (TEP) policy. Assume that each TEP allows its holder to emit 1 ton, and that the market for permits is perfectly competitive. a. Suppose the government initially distributes the total number of TEPs it issues equally between the two firms. The permits are distributed free of charge. Once trade in permits takes place, what will be the equilibrium in the market for TEPs (i.e. which firm will buy how many TEPs from the other, and at what price)? b. Briefly describe three problems of setting up a TEP market.Explain why, in the absence of governmental environmental regulation, competitive markets overproduce goods whose production involves the creation of negative externalities. Provide an example of a good that generates a negative externality.
- Suppose there are only two polluting firms, called A and B, with the following marginal abatement costs: MACA=160 2- e and MACB=100-es, where e represents firm A's emissions in tons and ea represents firm B's emissions in tons. Suppose the government wishes to ensure that the two firms together emit 60 tons of the pollutant and uses a Tradable Emission Permit (TEP) policy. Assume that each TEP allows its holder to emit 1 ton, and that the market for permits is perfectly competitive. a. Suppose the government initially distributes the total number of TEPs it issues equally between the two firms. The permits are distributed free of charge. Once trade in permits takes place, what will be the equilibrium in the market for TEPS (i.e. which firm will buy how many TEPs from the other, and at what price)? b. Briefly describe three problems of setting up a TEP market.Firms in a polluting industry can be classified in two groups: newer firms with a cleaner technology that can abate pollution at a lower marginal cost MCLA = (1/2)aL and older firms with dirtier MCHA = aH, where ai is the level of abatement undertaken by firms of type i = L, H. The social marginal benefit of abating pollution from this particular industry is MBA= 120 - A, where A is the aggregate level of abatement in that industry. What Pigouvian tax t will implement the efficient allocation (aL, aH)? Is the resulting allocation an efficient allocation? What is the government's tax revenue?There are two towns, A and B, each with a plant emitting pollution. The emission from plant Ais uniformly distributed across both town A and B. The emissions from plant B are local to town B. Despite the difference in affected area, the marginal benefit to either town of abating one unit of pollution from either source is the same, MB(Qi) = 17 − Qi per person, where Qi is total emissions abated from town i’s air. The marginal cost of abatement at plants A and B are MCA(qA) = 200qA and MCB(qB) = 100qB, respectively. If town A has 300 citizens and town B has 200, what is the efficient tax to set at each plant?