Suppose there are two polluting sources in some region, and each generates 10 units of pollution. The following equations describe each polluters total and marginal abatement costs:
Polluter 1: TAC1 = 1.25(A1)2 , MAC1 = 2.5(A1)
Polluter 2: TAC2 = 0.3125(A2)2 , MAC2= 0.625(A1)
a. Suppose the total abatement level (A1 + A2) standard is set to 10 units of pollution. Find the cost-effective abatement levels to reach of this standard.
b. If there is a uniform standard that each firm must abate 5 units, what is the extra money spent on total abatement costs (TAC1+ TAC2) compared to the cost-effective abatement level from (a)?
c. Suppose the government implements a tax of $5 per unit of pollution. Is this a cost-effective way to meet the target of 10 units of total pollution? Explain.
Suppose there are two polluting sources in some region, and each generates 10 units of pollution....
2. There are only two polluting sources in the region, each of which generates 10 units of pollution for a total of 20 units released into the environment, The government determines that emissions must be reduced by 12 units across the region to achieve the "socially desirable level of pollution". Each firm faces different abatement cost conditions modelled as follows: for Pol- luter 1, marginal abatement cost is MAC1-2.6Q1, while the total abate- ment cost is TAC1 1.3(Q1)2. For Polluter...
Problem 1 Assume that there are two factories, each emitting 20 units of pollutants into the environment, for a total of 40 units in their region. The government sets an aggregate abatement standard (AST) of 20 units. The polluters' cost functions are as follows, where the dollar values are in thousands: Polluter 1: TAC1 = 20 + 0.75(A1)2, Polluter 2: TAC2 = 15 + 0.5(A2)2, MAC1 = 1.5A1, MAC2 = A2. What information does the government need to...
Question 3 Assume that there are two firms, each emitting 40 units of pollutants into the environment, for a total of 80 units in their region. The government sets an aggregate abatement standard (AST) of 30 units (total in the region). The polluters' cost functions are as follows, where the dollar values are in thousands: Polluter 1: TAC1 = 15 + 1.5(A1)2, MAC1 = 3A1. Polluter 2: TAC2 = 16 + 0.55(A2)2, MAC2 = 1.1A2, a) What information does the...
Consider two polluting firms that want to abate 100 units of pollution together, in the cheapest way possible. Their total abatement costs are given below: TAC1 (x1) = x12 & TAC2 (x2) = 3x22 (1 point) Find an equation for the Aggregate Total Abatement Cost that combines the two firms (ATAC). In other words, sum TAC1 and TAC2. (1 point) Using the equality x1 + x2 = 100, find the ATAC equation in terms of x1 only. (1 point) What values...
Suppose you have 2 polluting sources in a region. With the objective to mitigate pollution, the government sets emissions limits as 10 units per company (Ast). As a market oriented policy, the government imposes an emission charge of $10 per unit (MT 10) of tax after MT MAC condition is met. The following functions are calculated for both polluters Polluter 1: MAC1 4.0(A1) Polluter 2: MAC2 2.4(A2) Total tax per pollutert(Ast - Ao) Where Ao Actual units abated The graphs...
Two thermic power plants have the following marginal and total cost of abatement of nitrogen oxide (NOx) emissions. When faced with no restrictions each of them emits maximum 100 ppm (parts per million) of NOx. Firm 1: MAC1=5 A1 TAC1=2.5 (A1)^2 Firm 2: MAC2 = 10 A2 TAC2= 5(A2)^2 (8 pts) The EPA finds the total NOx emissions of 200 ppm too much and seeks for improvement in air quality by specifying the reduction of 40% in total emissions from...
Q.4. (45 Points) Suppose that under the Michigan’s voluntary emission trading program, the objective for the two major firms in an urban area is a 50 percent reduction in carbon monoxide (CO) emissions from 120 units to 60 units. Each firm face the following costs: Firm 1: TAC1=2000+0.6(A1) 2 MAC1=1.2A1 Firm 2: TAC2=1000+0.2(A2) 2 MAC2=0.4A2, where A1 and A2 represent the percentages of CO emission abatement achieved by Firm 1 and Firm 2, respectively, and TAC and MAC are measured...
There are two firms producing cement. Each produces 20 units of pollution, and each has the ability to reduce pollution (abate) their emissions by operating some machine. The marginal damage of each unit of pollution to society is $3 (i.e., the marginal benefit of each unit of abatement is $3). The total cost of firm 1 is where denotes the amount of abatement of firm 1. The total cost of firm 2 is where denotes the amount of abatement of...
Problem 1 Consider the environmental problem created by two chemical plants that release arsenic into a nearby river. The authorities set a standard for the waterway that requires a total abatement level (A) for arsenic of 16 units. Suppose that the two firms, firm 1 and firm 2, face the following marginal abatement cost equations: MAC1 = 3A1 and MAC2 = A2, where costs are measured in thousands of dollars. If the state uses a uniform standard, show that such...
The use of energy is one of the major causes of pollution and greenhouse gases that lead to climate change. It is desirable to reduce the emissions from energy use. Suppose there are two firms whose marginal abatements costs are as follows: MAC1=q1 and MAC2=q2 where q1is the amount of emissions reduction by firm 1 and q2is the amount of emissions reduction by firm 2. In the context of this question, what is “marginal abatement cost”? Draw the two marginal abatement...