Exercise 4 by the quasilinear utility function u(x, y) = x¹/² + y. a) Derive his demand functions of good x and good y. b) Look at the demands of good x and good y you found in part (a). Explain how an increase in income would affect the quantity of x and the quantity of y David optimally consumes. [Hint: You can do a visual check or take the partial derivative of the demand of each good with respect to income and check whether this partial derivative is positive or negative] Is good x a normal good? Is good y a normal good? ● David is a consumer whose preferences over goods x and y are represented ●
Exercise 4 by the quasilinear utility function u(x, y) = x¹/² + y. a) Derive his demand functions of good x and good y. b) Look at the demands of good x and good y you found in part (a). Explain how an increase in income would affect the quantity of x and the quantity of y David optimally consumes. [Hint: You can do a visual check or take the partial derivative of the demand of each good with respect to income and check whether this partial derivative is positive or negative] Is good x a normal good? Is good y a normal good? ● David is a consumer whose preferences over goods x and y are represented ●
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Show full answers to part a) & b)
![Exercise 4
David is a consumer whose preferences over goods x and y are represented
by the quasilinear utility function u(x, y) = x¹/² + y.
a) Derive his demand functions of good x and good y.
b)
Look at the demands of good x and good y you found in part (a). Explain how an increase
in income would affect the quantity of x and the quantity of y David optimally consumes.
[Hint: You can do a visual check or take the partial derivative of the demand of each good
with respect to income and check whether this partial derivative is positive or negative]
Is good x a normal good?
Is good y a normal good?
●
●](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3574180-5be7-46af-9f18-c1fbb9ec682c%2F7c378267-e422-4e5f-95b3-ec47977d4825%2Fv2mt57_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 4
David is a consumer whose preferences over goods x and y are represented
by the quasilinear utility function u(x, y) = x¹/² + y.
a) Derive his demand functions of good x and good y.
b)
Look at the demands of good x and good y you found in part (a). Explain how an increase
in income would affect the quantity of x and the quantity of y David optimally consumes.
[Hint: You can do a visual check or take the partial derivative of the demand of each good
with respect to income and check whether this partial derivative is positive or negative]
Is good x a normal good?
Is good y a normal good?
●
●
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