3 Price elasticity and cross price elasticity of demand Suppose an individual who derives utility u(x, y) from consuming a units of good X and y units of good Y. Prices of goods X and Y are respectively Pa = 1 and py=p. Furthermore, the individual has a budget m. u(x, y) takes the following form: a> 0 and 3 > 0. (A) Derive the demands for goods X and Y. (B) Compute the price elasticity of demand for good Y. (C) Compute the cross price elasticity of good X for a change in p.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
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3 Price elasticity and cross price elasticity of demand
Suppose an individual who derives utility u(x, y) from consuming a units of good X and y
units of good Y. Prices of goods X and Y are respectively Pa = 1 and py = p. Furthermore,
the individual has a budget m. u(x, y) takes the following form:
=
a> 0 and 3 > 0.
(A) Derive the demands for goods X and Y.
(B) Compute the price elasticity of demand for good Y.
(C) Compute the cross price elasticity of good X for a change in p.
(D) Compute the income elasticity of good X. Is it a normal good?
Transcribed Image Text:3 Price elasticity and cross price elasticity of demand Suppose an individual who derives utility u(x, y) from consuming a units of good X and y units of good Y. Prices of goods X and Y are respectively Pa = 1 and py = p. Furthermore, the individual has a budget m. u(x, y) takes the following form: = a> 0 and 3 > 0. (A) Derive the demands for goods X and Y. (B) Compute the price elasticity of demand for good Y. (C) Compute the cross price elasticity of good X for a change in p. (D) Compute the income elasticity of good X. Is it a normal good?
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