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Assume an emissions tax is set at t as in the figure above. How many units does Firm 2 abate under the tax?
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- A plant with a marginal abatement function described by MAC = 75-5E is polluting the town's water supply. Emissions are measured in tons per year. a) Government regulators propose that the company pay a tax equal to $30 per ton of emissions. How many tons will the firm abate when faced with this tax, and how much better off will it be compared to if it does no abating. b) Suppose that, instead of the tax, the government offers to pay the firm $30 for each ton of emissions it abates. How many tons will the firm abate, and how much better off will it be compared to if it does no abating? c) If damages caused by the firm's emissions is described by the function MD = 5E, what tax rate would encourage the firm to abate to the socially efficient level of emissions? Compute the private and social compliance cost and the net benefit accruing to society from the socially efficient emissions tax. %3DPlease no written by hand solution A firm's profit function is: π(x,y) = 96x - 6x^2 + 84y - y^2 - 2xy .Suppose the firm's production causes pollution and the local authorities decide to apply a tas on its production, T=t(x+y), where t is a parameter. Given the tax, the firm maximises their tax revenue. What is the maximum profit the firm can obtain? What is the demand elasticity of price for each commodity at their maximum point?There is a company that emits a moderate amount of fossil fuel emissions. It would cost them 10 dollars to reduce emissions by 1 tonne, an additional 15 dollars to reduce emissions by a second tonne, an additional 25 dollars to reduce emissions by a third tonne, an additional 30 dollars to reduce emissions by a fourth tonne, and an additional 100 dollars to reduce emissions for a fifth tonne. If the price for a 1 tonne of emissions in a cap-and-trade program is 25 dollars, how many tonnes of emissions is the company likely to reduce? a. one tonne b. two tonnes c. three tonnes d. four tonnes c. 5 tonnes
- Imagine a firm with a marginal abatement cost (MAC) function equal to: MAC = 120 10E. The government introduces a per-unit tax on emissions equal to $20. For a profit- maximizing firm, total compliance costs (total abatement costs plus tax payment) are $An electricity generation company currently emits 99 tons of sulfur dioxide. Sulfur dioxide emissions contribute to respiratory illness and create acid rain when combined with other chemicals in the atmosphere. The table below shows the marginal cost of abatement, which increases as different abatement techniques are used. Quantity Abated (tons) Marginal Cost of Abatement per Ton 11 $5,000$5,000 22 $8,000$8,000 33 $15,000$15,000 44 $20,000$20,000 55 $30,000$30,000 66 $42,000$42,000 77 $56,000$56,000 88 $80,000$80,000 99 $135,000$135,000 Suppose the government imposes a pollution tax of $44,000$44,000 per ton of sulfur dioxide emitted. How many tons of sulfur dioxide will the company abate, and how many tons of sulfur dioxide will it emit? Write the exact answers. Do not round.The demand curve for CO2 systems can be considered as a kinked demand curve. One analysis company has helped and they find that the kink occurs at around 15 plants sold at a price of DKK 4.4 million. DKK per plant. At a price increase based on the kink, the analysis company estimates the price elasticity to -2. Furthermore, the analysis company has found that at a price of DKK 0, it the requested quantity is 40 plants. Derive and draw the kinked demand function and the associated MR function based on the given data. If necessary, make other necessary assumptions yourself.
- A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=74,000+40x and p(x)=250−x/20 0 ≤ x ≤ 5000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $4 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set?A company's marginal costs for emission reduction (MAC) can be expressed as MAC = 2A, where A is abatement in tonnes. MAC is expressed in USD. Assume that the company's total emissions inthe starting position is 100 tons. a) Assume that the authorities now decide on a limit value which means that the company may not emit more than 30 tonnes. What is the total cost for the company to live up to this limit? b) A research team consisting of both ecologists and economists concludes that the marginal benefit (per tonne) of reducing emissions is constant and equal to USD 100. How high is the socio-economically optimal level of emissions (for the individual company) given thisinformation? c) Assume that a system for trading in emission rights is established. The company in question is allocated 30 emission rights (where each right corresponds to one tonne). If the price of emission rights is USD 120 (per tonne), will the company be a buyer or a seller of emission rights and if so, how many…Corporate tax is included while calculating profit True/False
- Profit Analysis Unendo, is a large computer game manufacturer. They have estimated that the demand function for their game "Star Wars Battlefront III" is as follows... STAR WARE BATTLEFRONT p = 86 - 0.05q where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is ... Clq) = 179 + 5000; where the fixed cost is $5000 and the marginal cost is $17 per game Unendo wishes to maximize the weekly profit of producing and selling the game. Find the maximum profit they can earn. (Round your answer to 2 decimal places, if necessary)Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?Many economists favor a carbon tax as a way to discourage carbon emissions. Suppose such a tax were to be set at $20 per metric ton of carbon emissions (1 metric ton = 1,000 kilograms). Consider a 35% efficient coal-fired powerplant that produces 50MW of electricity. Given the carbon intensity of coal is 24gC/MJ, answer the following: a) What would the annual carbon tax be for this powerplant? Answer: $2.16 million/year b) A tree farm sequesters carbon at the rate of 5,000kg per year per acre over the 40-year life of the farm. What area of forest (in acres) would have to be planted to “offset” the powerplant’s emissions over the next 40 years (roughly the lifetime of the powerplant)? Answer: 21,600 acres c) How much could the powerplant operators pay for the forestry project (in $/acre-year) and still have it be cheaper than paying the $20 per metric ton carbon tax? Answer: $100/acre-year