(a) Derive own-price elasticity of demand (eii), income elasticity of demand (hi) and cross-price elasticity of demand (eij) for the Cobb-Douglas Utility Function. (b) With respect to Cobb Douglas preferences, what happens to the demand for each of two products (x and y) when the price of product y increases, as a result of: (i) the substitution effect; (ii) the income effect; and, (iii) the overall price effect?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.12P
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(a) Derive own-price elasticity of demand (eii), income elasticity of demand (hi) and cross-price elasticity of demand (eij) for the Cobb-Douglas Utility Function.

(b) With respect to Cobb Douglas preferences, what happens to the demand for each of two products (x and y) when the price of product y increases, as a result of: (i) the substitution effect; (ii) the income effect; and, (iii) the overall price effect? 

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