2. The John Amos power plant and the Mitchell power plant are both coal fired and...
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2. The John Amos power plant and the Mitchell power plant are both coal fired and emit SO2, regulators are now trying to determine how to cost-effectively allocate abatement requirements across the two sources of emissions. Each firm emits 1500 tons of SO unregulated. (This question is not related to question 1). The MCC for the John Amos plant is denoted as (MCJA) and the MCC for Mitchell plant is denoted as (MCM), where Q is tons of SO2 and costs are measured in dollars. MCJA= 100QJA MCM= 75QM The functions above are represented in the model below, MCM 1500 50QM - a. If 1500 Q Abatement Mitchell MCJA MCM Q Abatement John Amos no pollution abatement is required, how much pollution will each source emit and how much total pollution will be emitted? b. Regulators determine that emissions need to be reduced by 50%, if regulators were instate a uniform standard requiring each source to reduce emissions by 50%, what would be the total cost of abatement across the two sources? c. If instead, regulators opt for a more cost-effective approach determine the following: i. How much pollution will each source emit (round all answers to the nearest ton)? ii. How much pollution will each source abate (round all answers to the nearest ton)? iii. Calculate the total cost of abatement. iv. Show the cost effective allocation of abatement on a model like the one shown above. 2. The John Amos power plant and the Mitchell power plant are both coal fired and emit SO2, regulators are now trying to determine how to cost-effectively allocate abatement requirements across the two sources of emissions. Each firm emits 1500 tons of SO unregulated. (This question is not related to question 1). The MCC for the John Amos plant is denoted as (MCJA) and the MCC for Mitchell plant is denoted as (MCM), where Q is tons of SO2 and costs are measured in dollars. MCJA= 100QJA MCM= 75QM The functions above are represented in the model below, MCM 1500 50QM - a. If 1500 Q Abatement Mitchell MCJA MCM Q Abatement John Amos no pollution abatement is required, how much pollution will each source emit and how much total pollution will be emitted? b. Regulators determine that emissions need to be reduced by 50%, if regulators were instate a uniform standard requiring each source to reduce emissions by 50%, what would be the total cost of abatement across the two sources? c. If instead, regulators opt for a more cost-effective approach determine the following: i. How much pollution will each source emit (round all answers to the nearest ton)? ii. How much pollution will each source abate (round all answers to the nearest ton)? iii. Calculate the total cost of abatement. iv. Show the cost effective allocation of abatement on a model like the one shown above.
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An introduction to management science quantitative approaches to decision making
ISBN: 978-1111532222
13th edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Cam
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