(d) Find the optimal tax per ton that achieves the desired total reduction. How much less do firms spend to abate pollution under this tax than they did in part (b) above? Ignore the tax expenditure. (e) Intuitively, explain why the total abatement cost across both firms is lower in part (d) than in part (b).
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Just need help with part d and e. Not a, b, or c. Thank you.
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- Suppose there are pulp and paper mills that release carbon dioxide emissions (CO₂) into air at their current production levels. Each firm currently emits 10 tons per year, thus emitting 20 tons total. Local authorities have decided they would like to reduce annual CO₂ pollution to 10 tons per year (thus a 10 ton reduction) via a cap-and-trade policy. The mills have different marginal abatement costs given by the following equations: MACX = 3ax MACY = ay whereby ax and ay correspond to the marginal abatement quantities chosen by firms X and Y respectively. (a) Plot the marginal abatement functions for each firm on one overlapping graph that rep- resents all the possible combinations of achieving a 10 unit total abatement (b) If the regulators issue each firm 5 permits, what is the least firm Y would accept to sell one permit? What is the most firm X would be willing to pay to buy one permit? Given this information, do you expect firms would trade? (c) If the regulators issue each firm 5…Draw a diagram of the marginal abatement cost curve described by: MAC = 100 - 2E. What is the uncontrolled level of emissions? What is the marginal abatement cost of the 40thunit of abatement? What is the total abatement cost of 40 units of abatement?n order to create more jobs in the region, the local government gave permission to a foreign investor to build a chemical plant not far from a residential area. Analysts predict that real estate prices will drop by 15%15%. Currently, the total value of real estate is $40$40 million.Calculate the potential external cost for the residents in this area of building the chemical plant. Write the exact answer. Do not round.
- Define (a) externalities and (b) sunk costs, andthen give examples of each that might be involvedin a proposal by an energy company to build anew coal-fired electric power generating unit. Howwould these factors be worked into the analysis?Suppose we are interested in reducing the carbon footprint associated with heating/cooling buildings oncampus. The functions below describe marginal costs ofCO2abatement (expressed as a function of pollution)for two buildings on the Hendrix College campus. These are hypothetical but are influenced by buildingcharacteristics like age, size, and types of usage. (This information is used for questions 1-4) MCMills = 100−10xM MCSLTC = 75−2.5xS 1. If the College pursued its abatement target by directing each building manager to cut emissions in halffor their respective building, what is the total cost of abatement? 2. If the abatement were pursued with an on-campus carbon tax of$30, would there be the same level ofabatement? Show your work and/or explain. 3. If the goal of the college is to meet the abatement target from question 1, what is the appropriate taxrate? 4. If the appropriate tax rate is used (answer from Q3), how much money can be saved compared to thecommand & control…Suppose we are interested in reducing the carbon footprint associated with heating/cooling buildings oncampus. The functions below describe marginal costs ofCO2abatement (expressed as a function of pollution)for two buildings on the Hendrix College campus. These are hypothetical but are influenced by buildingcharacteristics like age, size, and types of usage. M CMills= 100−10xM M CSLT C= 75−2.5xS If the abatement were pursued with an on-campus carbon tax of$30, would there be the same level ofabatement? Show your work and/or explain.
- Environmental Economics. The equations below describe the marginal costs of abatement for three separate sources (as a function of pollution). %3D МC2 3D 24 - 2е2 МС3 %3 10 - е3/2 (Constructing a graphical presentation of the different cost functions may help) 1. What is the total cost of abatement if each source is forced to cut its pollution by half? 2. What are the cost-savings of an emissions price that achieves the same reduction as the command and control policy described in question 2?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…The MD and MAC curves below represent damage and abatement cost functions for a firm liable for damages caused by its emissions. Suppose the firm cleans up its emissions so as to minimize the sum of its abatement cost and compensation payment. What would be its total cost? Copyrighted material. Not to be shared. $15 MAC 10 25 MD A Emissions (tonnes/month)
- Cost of Reducing Pollution by 1 Unit $10 $20 $40 Above is tabulated the pollution level in tons for three different manufacturing firms, as well as their cost per ton of reducing pollution. The government has decided to limit total pollution to 300 tons, and distribute to each firm 100 permits, each allowing the firm to emit 1 ton of the pollutant. By how much would the total cost of the pollution reduction initiative be reduced if the firms are allowed to trade their permits, as opposed to not letting them trade them? Firm 1 2 3 Initial Pollution Level 100 200 300Suppose the aggregate MAC function is 100 - 20W and aggregate MD = 5W for a polluting industry. What would the polluting industry's total abatement costs equal if it faced an emissions tax rate equal to 20 dollars per unit emitted? A. 60 B. 20 C. 10 D. 0Many 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