14.8. Income effect and substitution effect. Consider Figure 4.16, depicting the preferences of a given consumer for goods x and y. As a result of a change in the price of x, the consumer's budget line shifts from b to bc. (a) What are the consumer's optimal choices before and after the change in px? (b) What are the substitution and income effects on the consumption of x of the change in px? (c) For this consumer and for the given values of x and 1: is x an inferior or a normal good? (d) Explain, qualitatively and quantitatively, the meaning of the income effect.
14.8. Income effect and substitution effect. Consider Figure 4.16, depicting the preferences of a given consumer for goods x and y. As a result of a change in the price of x, the consumer's budget line shifts from b to bc. (a) What are the consumer's optimal choices before and after the change in px? (b) What are the substitution and income effects on the consumption of x of the change in px? (c) For this consumer and for the given values of x and 1: is x an inferior or a normal good? (d) Explain, qualitatively and quantitatively, the meaning of the income effect.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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do parts a,b,c,d for me and explain too because I don't know. thanks
![**FIGURE 4.16: Income and Substitution Effects**
This graph depicts the income and substitution effects on consumer choice between two goods, represented on the axes as y (vertical) and x (horizontal).
- The curves labeled \(b_A\), \(b_B\), and \(b_C\) are budget lines, showing different combinations of goods x and y that can be purchased with the available budget. The slope of each budget line is determined by the prices of the goods.
- \(I/p_y\) and \(I_b/p_y\) denote the maximum amounts of good y that can be purchased when the entire budget is spent on y, with different income levels or price scenarios.
- Indifference curves are depicted as the curved lines intersecting the budget lines. These curves represent different levels of utility or satisfaction, with points A, B, and C indicating different equilibrium points.
- The points \(x_A\), \(x_B\), and \(x_C\) on the x-axis and \(y_A\), \(y_B\), and \(y_C\) on the y-axis show the quantities of goods x and y chosen at different budget constraints.
- Movement from point A to B illustrates the substitution effect, where the consumer adjusts their consumption of goods in response to a change in relative prices, keeping utility constant.
- Movement from point B to C reflects the income effect, where a change in purchasing power affects the consumption choices, as new budget lines allow for different combinations of goods x and y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29484458-c49a-4784-8582-6da2b7d9fbab%2F954fe89a-fe4f-4f1c-9283-ea70203fd59b%2F46rjce6_processed.png&w=3840&q=75)
Transcribed Image Text:**FIGURE 4.16: Income and Substitution Effects**
This graph depicts the income and substitution effects on consumer choice between two goods, represented on the axes as y (vertical) and x (horizontal).
- The curves labeled \(b_A\), \(b_B\), and \(b_C\) are budget lines, showing different combinations of goods x and y that can be purchased with the available budget. The slope of each budget line is determined by the prices of the goods.
- \(I/p_y\) and \(I_b/p_y\) denote the maximum amounts of good y that can be purchased when the entire budget is spent on y, with different income levels or price scenarios.
- Indifference curves are depicted as the curved lines intersecting the budget lines. These curves represent different levels of utility or satisfaction, with points A, B, and C indicating different equilibrium points.
- The points \(x_A\), \(x_B\), and \(x_C\) on the x-axis and \(y_A\), \(y_B\), and \(y_C\) on the y-axis show the quantities of goods x and y chosen at different budget constraints.
- Movement from point A to B illustrates the substitution effect, where the consumer adjusts their consumption of goods in response to a change in relative prices, keeping utility constant.
- Movement from point B to C reflects the income effect, where a change in purchasing power affects the consumption choices, as new budget lines allow for different combinations of goods x and y.
![**4.8. Income effect and substitution effect.**
Consider Figure 4.16, depicting the preferences of a given consumer for goods \( x \) and \( y \). As a result of a change in the price of \( x \), the consumer's budget line shifts from \( b_a \) to \( b_c \).
(a) What are the consumer’s optimal choices before and after the change in \( p_x \)?
(b) What are the substitution and income effects on the consumption of \( x \) of the change in \( p_x \)?
(c) For this consumer and for the given values of \( x \) and \( l \): is \( x \) an inferior or a normal good?
(d) Explain, qualitatively and quantitatively, the meaning of the income effect.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29484458-c49a-4784-8582-6da2b7d9fbab%2F954fe89a-fe4f-4f1c-9283-ea70203fd59b%2F0q6y2ps_processed.png&w=3840&q=75)
Transcribed Image Text:**4.8. Income effect and substitution effect.**
Consider Figure 4.16, depicting the preferences of a given consumer for goods \( x \) and \( y \). As a result of a change in the price of \( x \), the consumer's budget line shifts from \( b_a \) to \( b_c \).
(a) What are the consumer’s optimal choices before and after the change in \( p_x \)?
(b) What are the substitution and income effects on the consumption of \( x \) of the change in \( p_x \)?
(c) For this consumer and for the given values of \( x \) and \( l \): is \( x \) an inferior or a normal good?
(d) Explain, qualitatively and quantitatively, the meaning of the income effect.
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