3. Consider the utility function: u (x1, x2) = In (1 + x1) + In (1 + x2) With the Marshallian demand function for good 1 and 2: y+ P2 – P1 x1 (p, y) 2p1 y+ Pi – P2 2p2 x2 (p, y)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3. Consider the utility function:
u (x1, T2) = ln (1+x1) + ln (1 + x2)
With the Marshallian demand function for good 1 and 2:
y + P2 – P1
, (р, у)
2p1
y + Pi – P2
2p2
x2 (p, y)
Transcribed Image Text:3. Consider the utility function: u (x1, T2) = ln (1+x1) + ln (1 + x2) With the Marshallian demand function for good 1 and 2: y + P2 – P1 , (р, у) 2p1 y + Pi – P2 2p2 x2 (p, y)
And the Hicksian demand function for good 1:
x (p,u)
P2
exp (u) | – 1
P1
Now derive expressions for the income and substitution effects of a change in p2 on the
demand for x1 and show that they add up to the total effect.
Transcribed Image Text:And the Hicksian demand function for good 1: x (p,u) P2 exp (u) | – 1 P1 Now derive expressions for the income and substitution effects of a change in p2 on the demand for x1 and show that they add up to the total effect.
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