D. Dan consumes 2 goods, x and y. His utility function is U(x, y) = x³yś. Let p, and py denote the prices of goods x and y, respectively, and let m denote Dan's income. [Note that MUx|(x,y) = x¯¾y³ and MUy[(x,y) = ²x¾y¯¾.] Dan would like to know the least expensive bundle for each utility level. Find this optimal bundle as a function of pr, Py, and utility level (i.e., the Hicksian demand functions).

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Chapter1: Making Economics Decisions
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D. Dan consumes 2 goods, x and y. His utility function is U(x, y) = x¾y¾³. Let p. and py
denote the prices of goods x and y, respectively, and let m denote Dan's income. [Note that
MUx|(x,y) = \¼x¯¾y³ and MUy[(x,y) = ²x¾y¯¾.] Dan would like to know the least expensive
bundle for each utility level. Find this optimal bundle as a function of pr, Py, and utility
level (i.e., the Hicksian demand functions).
Transcribed Image Text:D. Dan consumes 2 goods, x and y. His utility function is U(x, y) = x¾y¾³. Let p. and py denote the prices of goods x and y, respectively, and let m denote Dan's income. [Note that MUx|(x,y) = \¼x¯¾y³ and MUy[(x,y) = ²x¾y¯¾.] Dan would like to know the least expensive bundle for each utility level. Find this optimal bundle as a function of pr, Py, and utility level (i.e., the Hicksian demand functions).
Expert Solution
Step 1

Utility function: U(x,y)=x13y23            ......(1)

Price of good x =px

Price of good y =py

m= Dan's income. 

We have to calculate the Hicksian demand function by solving the expenditure minimization problem. 

 

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