1 2. Two power producers emit sulfur dioxide (SO2). Axion earns a profit of 10 + 20x₁ - ½ x when it emits XA tons of SO2, and Boson earns a profit of 8 + 40xB - ½ x when it emits XB tons. (i) How much SO2 will the two producers emit? (ii) Suppose that a regulator imposes a binding limit on aggregate emissions. Specifically, emissions must satisfy xд + XB ≤ x*. Find the Pareto efficient emissions levels for each producer, given the limit on aggregate emissions. 1 (iii) Now suppose that the regulator gives each producer ½ x* (divisible) emissions permits, each of which permits the holder to emit one ton of SO2. Find a profitable trade (quantity and price per permit) for the producers.

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter12: Environmental Protection And Negative Externalities
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Problem 12SCQ: Consider the case of global environmental problems that spill across international borders as a...
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1
2. Two power producers emit sulfur dioxide (SO2). Axion earns a profit of 10 + 20x4 –x
-
2
1
when it emits Xa tons of S02, and Boson earns a profit of 8 + 40xg -xg when it emits XB
tons.
(i) How much SO2 will the two producers emit?
(ii) Suppose that a regulator imposes a binding limit on aggregate emissions. Specifically,
emissions must satisfy x4 + XB < x*. Find the Pareto efficient emissions levels for each
producer, given the limit on aggregate emissions.
(iii) Now suppose that the regulator gives each producer - x* (divisible) emissions permits,
each of which permits the holder to emit one ton of SO2. Find a profitable trade (quantity
and price per permit) for the producers.
Transcribed Image Text:1 2. Two power producers emit sulfur dioxide (SO2). Axion earns a profit of 10 + 20x4 –x - 2 1 when it emits Xa tons of S02, and Boson earns a profit of 8 + 40xg -xg when it emits XB tons. (i) How much SO2 will the two producers emit? (ii) Suppose that a regulator imposes a binding limit on aggregate emissions. Specifically, emissions must satisfy x4 + XB < x*. Find the Pareto efficient emissions levels for each producer, given the limit on aggregate emissions. (iii) Now suppose that the regulator gives each producer - x* (divisible) emissions permits, each of which permits the holder to emit one ton of SO2. Find a profitable trade (quantity and price per permit) for the producers.
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