Math Problem Statement
A consumer has expenditure function e(p1,p2,u) = up1p2/(p1+p2). Find a direct utility function, u(x1,x2), that rationalises this person’s demand behaviour.
Solution
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Math Problem Analysis
Mathematical Concepts
Consumer Theory
Utility Functions
Expenditure Function
Demand Theory
Formulas
Expenditure function: e(p1, p2, u) = up1p2 / (p1 + p2)
Theorems
Roy's Identity
Marshallian Demand Functions
Cobb-Douglas Utility Function
Suitable Grade Level
Graduate Level
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