Assume the prices of r and y are 1 and income is 10. For the following two utility functions, find the quantities of r and y consumed at the con- sumer's optimum. (Here, it may be helpful to solve by drawing out some indifference curves.) (a) U (r,y)= Min(r, 2y) (b) U(x, y) = 2x + y (c) Suppose the price of a rises to 3. What are the new optima in each case. What are the substitution effects?
Assume the prices of r and y are 1 and income is 10. For the following two utility functions, find the quantities of r and y consumed at the con- sumer's optimum. (Here, it may be helpful to solve by drawing out some indifference curves.) (a) U (r,y)= Min(r, 2y) (b) U(x, y) = 2x + y (c) Suppose the price of a rises to 3. What are the new optima in each case. What are the substitution effects?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![4. Assume the prices of r and y are 1 and income is 10. For the following
two utility functions, find the quantities of r and y consumed at the con-
sumer's optimum. (Here, it may be helpful to solve by drawing out some
indifference curves.)
(a) U(r, y) = Min(x, 2y)
(b) U(x, y) = 2x + y
(c) Suppose the price of a rises to 3. What are the new optima in each
case. What are the substitution effects?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ba0c887-4aa8-479a-bbe6-def4e2cc3ca7%2F897ab48e-6aeb-4970-932f-912fe4064770%2Fjmjbxq7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Assume the prices of r and y are 1 and income is 10. For the following
two utility functions, find the quantities of r and y consumed at the con-
sumer's optimum. (Here, it may be helpful to solve by drawing out some
indifference curves.)
(a) U(r, y) = Min(x, 2y)
(b) U(x, y) = 2x + y
(c) Suppose the price of a rises to 3. What are the new optima in each
case. What are the substitution effects?
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