Q3. A consumer with the utility function U(₁,2) = xx and her income $200 faces the market prices (P₁, P2) = (4,4). Now the government introduces a consumption tax of $2 for every unit of good ₁ purchased. A. Find the total tax revenue. B. Instead of the consumption tax, if the government takes away a lump- sum amount from the consumer as an income tax, maintaining the same welfare level the consumer has under $2 consumption tax, how much more revenue the government could collect?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Q3. A consumer with the utility function U(x₁, x2) = xx and her
income $200 faces the market prices (P₁, P2) = (4,4). Now the government
introduces a consumption tax of $2 for every unit of good *₁ purchased.
A. Find the total tax revenue.
B. Instead of the consumption tax, if the government takes away a lump-
sum amount from the consumer as an income tax, maintaining the same
welfare level the consumer has under $2 consumption tax, how much more
revenue the government could collect?
Transcribed Image Text:Q3. A consumer with the utility function U(x₁, x2) = xx and her income $200 faces the market prices (P₁, P2) = (4,4). Now the government introduces a consumption tax of $2 for every unit of good *₁ purchased. A. Find the total tax revenue. B. Instead of the consumption tax, if the government takes away a lump- sum amount from the consumer as an income tax, maintaining the same welfare level the consumer has under $2 consumption tax, how much more revenue the government could collect?
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