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Texarkana Electric Company burns coal to heat the water that drives its electricity-producing turbines. The table below shows the marginal benefit of annual electricity consumption and the private marginal cost of annual electricity production. Marginal Cost and Marginal BenefitQuantity (millions of megawatts) MBprivate MCprivate MCexternal MCsocial1.0 $145 $85 $ $ 2.0 130 90 3.0 115 95 4.0 100 100 5.0 85 105 6.0 60 110  Instructions: Enter your answers as a whole number. a. What is "private quantity" of electricity Texarkana Electric Company will produce each year?    million megawatts per year Now assume the production of each million megawatts of electricity also produces sulfur dioxide (a precursor to acid rain). The external cost of the sulfur dioxide is $20 per million megawatts of electricity production.  b. Fill in the external marginal cost (MCexternal) and the social marginal cost (MCsocial) columns in the table above. c. What is the socially optimal amount of electricity for Texarkana to produce if all costs and benefits are considered?      million megawatts per year

Question

Texarkana Electric Company burns coal to heat the water that drives its electricity-producing turbines. The table below shows the marginal benefit of annual electricity consumption and the private marginal cost of annual electricity production. Marginal Cost and Marginal BenefitQuantity (millions of megawatts) MBprivate MCprivate MCexternal MCsocial1.0 145145 85 2.0 130 90 3.0 115 95 4.0 100 100 5.0 85 105 6.0 60 110  Instructions: Enter your answers as a whole number. a. What is "private quantity" of electricity Texarkana Electric Company will produce each year?    million megawatts per year Now assume the production of each million megawatts of electricity also produces sulfur dioxide (a precursor to acid rain). The external cost of the sulfur dioxide is $20 per million megawatts of electricity production.  b. Fill in the external marginal cost (MCexternal) and the social marginal cost (MCsocial) columns in the table above. c. What is the socially optimal amount of electricity for Texarkana to produce if all costs and benefits are considered?      million megawatts per year

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Solution

a. The "private quantity" of electricity that Texarkana Electric Company will produce each year is determined by the point where the private marginal benefit (MBprivate) equals the private marginal cost (MCprivate). Looking at the table, this occurs at 4.0 million megawatts per year.

b. The external marginal cost (MCexternal) is given as $20 per million megawatts of electricity production. Therefore, this value will be the same for each quantity of electricity produced. The social marginal cost (MCsocial) is the sum of the private marginal cost (MCprivate) and the external marginal cost (MCexternal). The table filled in would look like this:

Quantity (millions of megawatts) MBprivate MCprivate MCexternal MCsocial 1.0 145145 85 2020 105 2.0 130 90 20 110 3.0 115 95 20 115 4.0 100 100 20 120 5.0 85 105 20 125 6.0 60 110 20 130

c. The socially optimal amount of electricity for Texarkana to produce, considering all costs and benefits, is determined by the point where the marginal benefit (MBprivate) equals the social marginal cost (MCsocial). Looking at the table, this occurs at 3.0 million megawatts per year.

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