(a) On your work sheet Graph the two marginal cost lines (on two separate graphs). (b) The traditional approach has been to assign all 200 units of abatement to the power plants, i.e. Qc = 0 and Qp = 200. What is the total cost of abatement under this system? Show your calculations on your work sheet and enter the total cost in the blank below. (c) The planners have hired you to tell them what the cheapest way is for the city to divide the 200 units of abatement between the two sources. What do you tell them? (ie. what are Qc and Qp for the cost-effective solution ?)

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter16: Bargaining
Section: Chapter Questions
Problem 2MC
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Portland is trying to reduce annual NOx emissions by 200 units. Its environmental
planners are now deciding how to allocate the abatement mandate between cars and
power plants. The marginal costs of abatement from cars (Qc) and abatement from
plants (Qp) are MACC = 3Qc and MACP = Qp. Each source is currently emitting 200
units (so total emission from both sources are 400). (Note: Q is the quantity of
abatement and the goal is to abate a total of 200 units).
%3D
(a) On your work sheet Graph the two marginal cost lines (on two separate graphs).
(b) The traditional approach has been to assign all 200 units of abatement to the
power plants, i.e. Qc = 0 and Qp = 200. What is the total cost of abatement under
this system?
Show your calculations on your work sheet and enter the total cost in the blank
below.
(c) The planners have hired you to tell them what the cheapest way is for the city to
divide the 200 units of abatement between the two sources. What do you tell them?
(ie. what are Qc" and Qp" for the cost-effective solution ?)
Show your calculations on your work sheet and enter the values for Qc and Qp' in
the blank below.
(d) How does the total cost of the abatement allocation you found in (c) compare to
the total cost of the abatement allocation given in (b)?
Calculate your total cost on the worksheet and then enter the values in the blank
below.
Make sure you upload your work sheet after you turn in the D2L exam so that I am
able to grade the graphs and also give partial credit if you get the numeric answers
wrong.
Transcribed Image Text:Portland is trying to reduce annual NOx emissions by 200 units. Its environmental planners are now deciding how to allocate the abatement mandate between cars and power plants. The marginal costs of abatement from cars (Qc) and abatement from plants (Qp) are MACC = 3Qc and MACP = Qp. Each source is currently emitting 200 units (so total emission from both sources are 400). (Note: Q is the quantity of abatement and the goal is to abate a total of 200 units). %3D (a) On your work sheet Graph the two marginal cost lines (on two separate graphs). (b) The traditional approach has been to assign all 200 units of abatement to the power plants, i.e. Qc = 0 and Qp = 200. What is the total cost of abatement under this system? Show your calculations on your work sheet and enter the total cost in the blank below. (c) The planners have hired you to tell them what the cheapest way is for the city to divide the 200 units of abatement between the two sources. What do you tell them? (ie. what are Qc" and Qp" for the cost-effective solution ?) Show your calculations on your work sheet and enter the values for Qc and Qp' in the blank below. (d) How does the total cost of the abatement allocation you found in (c) compare to the total cost of the abatement allocation given in (b)? Calculate your total cost on the worksheet and then enter the values in the blank below. Make sure you upload your work sheet after you turn in the D2L exam so that I am able to grade the graphs and also give partial credit if you get the numeric answers wrong.
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