Suppose Two Point Sources Are Discharging Phosphorus into Wisconsin's Fox

Essay

Suppose two point sources are discharging phosphorus into Wisconsin's Fox River and face the following abatement costs for this pollutant:
Point Source 1: TAC₁ = 500 + 0.35(A₁)²
MAC₁ = 0.7A₁
Point Source 2: TAC₂ = 750 + 1.05(A₂)²
MAC₂ = 2.1A₂,
where A₁ and A₂ represent the abatement of phosphorus effluents in pounds by Source 1 and Source 2, respectively, and TAC and MAC are measured in hundreds of dollars.
Assume that the state environmental authority has set the total maximum daily load (TMDL) for the Fox River. To achieve this limit, 40 pounds of phosphorus must be abated across the two point sources. Use this information to answer the following questions.
a. If a uniform abatement standard is used by the regulatory authority, what would be the dollar values of TAC and MAC for each source?
b. Based on your answer to part (a), is there an economic incentive for the sources to participate in the trading program? Explain briefly.
c. Quantify the cost savings associated with a cost-effective abatement allocation achieved through trading.
d. What should be the price level of the tradable permits to achieve the cost-effective solution?