13. Not all demand functions are linear. Compute the elasticity for the exponential demand function D(p)=ae where a and b are positive real numbers. "

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter5: Elasticity Of Demand And Supply
Section: Chapter Questions
Problem 4.9P: (Other Elasticity Measures) Complete each of the following sentences: a. The income elasticity of...
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11. The demand for processed pork in Canada is described by the function D(p) = 286 - 20p¹. Graph the
demand function, compute the elasticity, and graph the elasticity. For what prices is the demand function
elastic and inelastic?
12. Show that the general linear demand function D(p) = a - bp, where a and b are positive real numbers, has a
decreasing elasticity for 0 ≤p < a/b. Show that for the general linear demand function, E = -1 when
P = a/2b.
13. Not all demand functions are linear. Compute the elasticity for the exponential demand function
D(p) =ae, where a and b are positive real numbers.
14. Show that the demand function D(p) =alp', where a and b are positive real numbers, has a constant
elasticity for all positive prices.
Transcribed Image Text:11. The demand for processed pork in Canada is described by the function D(p) = 286 - 20p¹. Graph the demand function, compute the elasticity, and graph the elasticity. For what prices is the demand function elastic and inelastic? 12. Show that the general linear demand function D(p) = a - bp, where a and b are positive real numbers, has a decreasing elasticity for 0 ≤p < a/b. Show that for the general linear demand function, E = -1 when P = a/2b. 13. Not all demand functions are linear. Compute the elasticity for the exponential demand function D(p) =ae, where a and b are positive real numbers. 14. Show that the demand function D(p) =alp', where a and b are positive real numbers, has a constant elasticity for all positive prices.
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