Researchers found the demand for cheese in a particular country for a particular year can be estimated by the implicit equation Inq=D-0.74Inp, where p represents the price of a unit of cheese and D represents a constant that can be calculated uniquely for a particular year. Here q represents the annual per capita cheese demand. Answer parts (a) and (b) below. (a) Use implicit differentiation to calculate and interpret the elasticity of demand. Recall that elasticity of demand is E= p/q dq/dp Show the first step of implicit differentiation, the equation that results from differentiating each side of the equation. _____dq/dp=_____ Find the elasticity of demand. E= (Simplify your answer) Interpret the elasticity of demand you calculated. A. Demand is elastic. B. Demand is inelastic. C. Demand has unit elasticity. D. Demand may be elastic or inelastic, depending on the value of D. (b) Solve the equation for q, then calculate the elasticity of demand. =. E=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Question
I need help on my homework
Researchers found the demand for cheese in a
particular country for a particular year can be
estimated by the implicit equation
Inq=D-0.74Inp,
where p represents the price of a unit of
cheese and D represents a constant that can
be calculated uniquely for a particular year.
Here q represents the annual per capita
cheese demand. Answer parts (a) and (b)
below.
(a) Use implicit differentiation to calculate and
interpret the elasticity of demand. Recall that
elasticity of demand is E= p/q dq/dp
Show the first step of implicit differentiation,
the equation that results from differentiating
each side of the equation.
_____dq/dp=_____
Find the elasticity of demand.
E=
(Simplify your answer)
Transcribed Image Text:Researchers found the demand for cheese in a particular country for a particular year can be estimated by the implicit equation Inq=D-0.74Inp, where p represents the price of a unit of cheese and D represents a constant that can be calculated uniquely for a particular year. Here q represents the annual per capita cheese demand. Answer parts (a) and (b) below. (a) Use implicit differentiation to calculate and interpret the elasticity of demand. Recall that elasticity of demand is E= p/q dq/dp Show the first step of implicit differentiation, the equation that results from differentiating each side of the equation. _____dq/dp=_____ Find the elasticity of demand. E= (Simplify your answer)
Interpret the elasticity of demand you
calculated.
A.
Demand is elastic.
B.
Demand is inelastic.
C.
Demand has unit elasticity.
D.
Demand may be elastic or inelastic, depending
on the value of D.
(b) Solve the equation for q, then calculate the
elasticity of demand.
=.
E=
Transcribed Image Text:Interpret the elasticity of demand you calculated. A. Demand is elastic. B. Demand is inelastic. C. Demand has unit elasticity. D. Demand may be elastic or inelastic, depending on the value of D. (b) Solve the equation for q, then calculate the elasticity of demand. =. E=
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax