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Economics 11: Problem set 3 SUMMER 2026 UCLA
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---10May 20262025/2026
- Problem 1 
Suppose that an individual with income I cares about two goods, X and Y . The prices of 
the two goods are pX and pY . The individual has the utility function 
U(X, Y ) = X 
2 
5 Y 
3 
5 . 
(a) Derive the Marshallian demands for the two goods. 
(b) Find the indirect utility function. 
Solution 
(a) To derive the Marshallian demands, we use the Lagrangian method. The budget 
constraint is 
pXX + pY Y = I, 
which we can rewrite as 
I − pXX − pY Y = 0. 
We set up the Lagrangian funct...
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Oldspice
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ECON 103L Economics 11: Problem Set 6 SPRING 2026 UCLA
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---9May 20262025/2026
- Jeff consumes burrito bowls (B) and chicken tenders (C). His Marshallian demand for 
burrito bowls is 
B 
∗ = 
I 
0.4p 
0.3 
C 
5p 
0.7 
B 
(a) Find and interpret the income elasticity of demand for burrito bowls (eB,I ) and interpret the value. Are burrito bowls an inferior or normal good? 
(b) Find the own price elasticity of demand for burrito bowls (eB,pB 
) and interpret the 
value. Does the own price elasticity of demand for burrito bowls depend on the 
value of pB? 
(c) Find the cross p...
-
$32.99 More Info
Oldspice