25.) Let T equal tons of sulfur dioxide (SO 2 ) emissions. Suppose two power pla
ID: 1211562 • Letter: 2
Question
25.) Let T equal tons of sulfur dioxide (SO2) emissions. Suppose two power plants have marginal abatement costs given by MAC1=20-T1 and MAC2=10-T2. Suppose that emitting SO2 costs the firms nothing. T1 represents emissions by firm 1; T2 represents emissions by firm 2.
a)How much SO2 does each firm emit when there is no policy for emissions?
b)If the government orders both firms to reduce emissions by 50%, is this a cost effective policy? Show your answer is correct by calculating values.
c)What is a cost effective policy (calculate values)?
Explanation / Answer
Given: - two firms
T is the tones of SO2 production
Marginal Abatement cost of firm 1 :- MAC1=20-T1
Marginal Abatement cost of firm 2 :- MAC2=10-T2
The total emission of both the firms can be:- MAC1=MAC2
20-T1=10-T2
T1 = T2 + 10
T2 = T1 – 10
Which means that T1=T2
Thus, both the firms emit equal SO2.
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