1. (x,y) A is the original consumption bundle of this consumer. Using graph, show the optimal bundle when the price of x doubles (i.e., p = 2px). 2. Draw a pivoted budget line. The pivoted budget line crosses the original consumption bundle, A, and has the same slope with the budget line under new prices (Pr. Py). 3. Show the optimal consumption bundle on the pivoted budget line.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.13P
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Question-1 (Income and Substitution Effect)
The graph below shows the optimal
bundle (x*,y*) of a consumer when the prices of goods are pr and Py. The red line denotes the
budget line, and the blue curve denotes indifference curves. m denotes the income level of the
consumer.
m/Py
(x,y) A
m/px
1. (x*,y) == A is the original consumption bundle of this consumer. Using graph, show the
optimal bundle when the price of x doubles (i.e., p/x = 2px).
2. Draw a pivoted budget line. The pivoted budget line crosses the original consumption bundle,
A, and has the same slope with the budget line under new prices (Pr. Py).
3. Show the optimal consumption bundle on the pivoted budget line.
4. Show and discuss the income and substitution effects using the graph.
Transcribed Image Text:Question-1 (Income and Substitution Effect) The graph below shows the optimal bundle (x*,y*) of a consumer when the prices of goods are pr and Py. The red line denotes the budget line, and the blue curve denotes indifference curves. m denotes the income level of the consumer. m/Py (x,y) A m/px 1. (x*,y) == A is the original consumption bundle of this consumer. Using graph, show the optimal bundle when the price of x doubles (i.e., p/x = 2px). 2. Draw a pivoted budget line. The pivoted budget line crosses the original consumption bundle, A, and has the same slope with the budget line under new prices (Pr. Py). 3. Show the optimal consumption bundle on the pivoted budget line. 4. Show and discuss the income and substitution effects using the graph.
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