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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
Related questions
Question
Please help with question 12. Thank you!
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F979c6c69-bbe4-4ab3-960c-7f6f7d1a421b%2F9656ef92-6637-4cc4-bece-23b2ac808dc1%2Fn3d40jl_processed.jpeg&w=3840&q=75)
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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