b. Can the total abatement cost be lowered by requiring unequal pollution reductions from the Firms, while still maintaining a total pollution reduction of 107 Show the total cost for reductions of 6 ond 4 units, 7 and 3 units, etc., for Firms 1 and 2 respectively
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- Suppose a municipality votes to reduce the combined pollution introduced by three local companies. Presently, each firm creates 4 units of pollution in the area, for a total of 12 pollution units. The government can reduce total pollution in the area to 6 units by choosing between the following two methods: Methods to Reduce Pollution 1. The government imposes pollution standards using regulation. 2. The government issues tradable pollution permits. The costs faced by each firm are different, so it is more difficult for some firms to reduce pollution than others. The following table shows the cost faced by each firm to eliminate each unit of pollution. Assume that the cost of eliminating all 4 units of pollution (that is, reducing pollution to zero) is prohibitively expensive for all three firms. Firm Cost of Eliminating the... First Unit of Pollution Second Unit of Pollution Third Unit of Pollution (Dollars) (Dollars) (Dollars) Firm…Suppose a municipality votes to reduce the combined pollution introduced by three local companies. Presently, each firm creates 4 units of pollution in the area, for a total of 12 pollution units. The government can reduce total pollution in the area to 6 units by choosing between the following two methods:Methods to Reduce Pollution1. The government imposes pollution standards using regulation.2. The government issues tradable pollution permits.The costs faced by each firm are different, so it is more difficult for some firms to reduce pollution than others. The following table shows the cost faced by each firm to eliminate each unit of pollution. Assume that the cost of eliminating all 4 units of pollution (that is, reducing pollution to zero) is prohibitively expensive for all three firms.FirmCost of Eliminating the...First Unit of PollutionSecond Unit of PollutionThird Unit of Pollution(Dollars)(Dollars)(Dollars)Firm A 130 165 220Firm B 600 750 1,200Firm C…Suppose an emissions standard is implemented that required each plant to reduce its pollution by 5,000 tons. What will be the Total Cost of Pollution Reduction for the entire industry? Suppose instead of an emissions standard, the government implements a tradeable permit system. Each firm is now given 3,000 permit each (1 permit equals 1 ton of pollution allowed). How many permits will be traded between the 2 firms? (Hint: The total amount that need to be reduced is 10,000 tons. i.e. Q1 + Q2 = 10,000)
- Suppose the government wants to reduce the total pollution emitted by three local firms. Currently, each firm is creating 4 units of pollution in the area, for a total of 12 pollution units. If the government wants to reduce total pollution in the area to 6 units, it can choose between the following two methods: Available Methods to Reduce Pollution 1. The government sets pollution standards using regulation. 2. The government allocates tradable pollution permits. Each firm faces different costs, so reducing pollution is more difficult for some firms than others. The following table shows the cost each firm faces to eliminate each unit of pollution. For each firm, assume that the cost of reducing pollution to zero (that is, eliminating all 4 units of pollution) is prohibitively expensive. Firm Cost of Eliminating the... First Unit of Pollution Second Unit of Pollution Third Unit of Pollution (Dollars) (Dollars) (Dollars) Firm X 130 165 220…Consider a market with two polluting firms with linear marginal abatement cost curves. Firm B has increasing marginal abatement costs that are everywhere half as high as Firm A’s marginal abatement costs. The maximum amount of pollution that can be tolerated is less than the total these two firms would emit if their pollution was unrestricted. Thus some aggregate amount of abatement is necessary. The pollutant in question is uniformly mixing, so it doesn’t matter which firm cuts back how much, only that between them, they cut back by the required total amount. The environmental agency decides to solve the abatement allocation problem by giving out pollution permits in amounts such that each firm would be obliged to cut back their emissions by an equal amount. Would this be “fair”? Would it be “efficient”?Suppose there are two power plants that release sulfur dioxide (SO2) into air at their current production levels. Each firm currently emits 75 tons per year, thus emitting 150 tons total. Local authorities have decided they would like to reduce annual SO2 pollution to 100 tons per year (thus a 50 ton reduction). The power plants have different marginal abatement costs given by the following equations: MAC1 = 3q1 + 5 MAC2 = 2q2 (a) Suppose the local authorities decide to impose a uniform reduction of pollution by both power plants. In order to achieve the 50 unit reduction under this plan, both plants must reduce their emissions (abate pollution) by 25 units each. Find the total cost of abatement under this uniform reduction policy. (b) Find the efficient abatement amount for each power plant if you wanted to achieve the 50 unit reduction at the most cost-efficient way possible (i.e. find the q1 and q2 that achieves the 50 unit reduction in the cheapest way). What is the total cost of…
- The Centers for Disease Control and Prevention (CDC) has a new vaccine against a disease and are trying to determine the optimal percentage of the population that should be vaccinated. They do not recommend vaccinating the whole population against the smallpox virus because the vaccine has undesirable, and sometimes fatal, side effects. Suppose the following table gives the data about the effects of the vaccine. Percent of population Deaths Due to Deaths due to Marginal Marginal Cost vaccinated Disease vaccine side Benefit of the of the Vaccine effects Vaccine (extra (extra deaths lives saved by due to side vaccine) effects) 0% 200 0 NA NA 10% 180 10 20% 160 25 30% 140 55 40% 120 95 50% 100 140 60% 80 200 a. Calculate the Marginal Benefit (in terms of how many extra lives are saved by the…Suppose that the firm’s production activity causes so much pollution that the authorities limit its output to 11 tons in total. By using Lagrangian method, find the number of tons of each of commodity A and B, and the firm’s maximization profit.Using economic reasoning, why are wearing masks important during this COVID 19 pandemic
- Suppose the local authorities wanted to achieve a more drastic reduction in total pollution of 75 tons in the scenario described above. They want to do so via the introduction of a tradable pollution permits system whereby, each permit would allow a power plant to emit one ton of SO2 annually at no cost, but a power plant’s emissions may not exceed it’s permits. The authorities must will distribute 75 permits (to achieve the 150 - 75 = 75 ton reduction). Recall that prior to the policy, each plant is emitting 75 tons. (a) If the regulator issues 35 permits to firm 1 and 40 permits to firm 2, without trading, how much would each firm have to spend to comply with the regulation? Recall that each firm must abate the pollution for which they do not hold permits. i.e. q1 = 75 − p 1 where p 1 is the number of permits firm 1 has. (b) At this initial allocation, what is the marginal willingness to pay a permit for firm 1? What is the marginal willingness to accept to sell a permit for firm 2?…The following table shows the marginal costs for each of the four firms (A, B, C, and D) to eliminate units of pollution from their production processes. For example, for Firm A to eliminate one unit of pollution, it would cost $ 54, and for Firm A to eliminate a second unit of pollution it would cost an additional$67. Refer to Table 10-5. Suppose the government wants to reduce pollution from 16 units to 8 units and auctions off 8 pollution permits to achieve this goal. Which of the following is a likely auction price for the permits? a.$69b.$97c.$81d. 583Firm A currently dumps 223 tons of chemicals into the local river. Firm B currently dumps 192 tons of chemicals into the local river. The government has decided to reduce the pollution and from now on will require a pollution permit for each ton of pollution dumped into the river. The government gives each firm 10 pollution permits. The abatement costs of one ton of pollution is $173 for Firm A and $76 for Firm B. What would be the total cost of reducing pollution, if the firms are allowed to trade permits between each other?