1. An agent consumes quantity (x1,X2) of goods 1 and 2. Here is his utility function: U(x1,x2) = x1³x2, his budget constraint is: p1x1+p2x2=m. (a) Calculate the agent's Marshallian demand (x*1, x*2). (b) Derive the agent's expenditure function. (c) Roy's identity for good 1 states that: əv (p1, p2, m)/ap1 lap1 ƏV (p1,p2, m)/am x1* = Verify this equation (vou need not verify it for good 2).

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Chapter1: Making Economics Decisions
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1. An agent consumes quantity (X1,X2) of goods 1 and 2. Here is his utility function:
U (x1,x2) = x13x2, his budget constraint is: p1x1+p2x2=m.
(a) Calculate the agent's Marshallian demand (x*, x*2).
(b) Derive the agent's expenditure function.
(c) Roy's identity for good 1 states that:
aV(pl,p2, m)/
х1* 3
дV (р1, р2, т)
am
Verify this equation (you need not verify it for good 2).
Transcribed Image Text:1. An agent consumes quantity (X1,X2) of goods 1 and 2. Here is his utility function: U (x1,x2) = x13x2, his budget constraint is: p1x1+p2x2=m. (a) Calculate the agent's Marshallian demand (x*, x*2). (b) Derive the agent's expenditure function. (c) Roy's identity for good 1 states that: aV(pl,p2, m)/ х1* 3 дV (р1, р2, т) am Verify this equation (you need not verify it for good 2).
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