Question 7: For each of the following price-income scenarios, sketch the con- sumer's budget lines on one set of axes (i.e. put all three budget lines in one picture and label them 1, 2, and 3). Y is income, and pı and p2 are the prices of goods 1 and 2, respectively. (1) Y = 70, p1 = 5, p2 = 10 (2) Y = 70, p1 = 10, p2 = 10 (3) Y = 140, p1 = 10, p2 = 10 %3D For the prices and income in part (1), solve for the optimal bundle for a con- sumer with each of the following utility functions: (i) U(q1, 42) = min{q1,5q2}; (ii) U(q1, q2) = 3q1 + 4q2; and (iii) U(q1, 42) = qỉ' q²'". 3/7 4/7 4 In each case, how would the optimal amounts of each good change if the prices and income were to change to those given in part (2)?

Micro Economics For Today
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ISBN:9781337613064
Author:Tucker, Irvin B.
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Chapter6: Consumer Choice Theory
Section6.A: Indifference Curve Analysis
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Question 7: For each of the following price-income scenarios, sketch the con-
sumer's budget lines on one set of axes (i.e. put all three budget lines in one picture
and label them 1, 2, and 3). Y is income, and pı and p2 are the prices of goods 1 and
2, respectively.
(1) Y = 70, p1 = 5, p2 = 10
(2) Y = 70, p1 = 10, p2 = 10
(3) Y = 140, p1 = 10, p2 = 10
For the prices and income in part (1), solve for the optimal bundle for a con-
sumer with each of the following utility functions: (i) U(q1, 42) = min{q1,5q2}; (ii)
U (q1, 42) = 391 + 4q2; and (iii) U(41, 42) = q" 42
3/7 4/7
4
In each case, how would the optimal amounts of each good change if the prices and
income were to change to those given in part (2)?
Transcribed Image Text:Question 7: For each of the following price-income scenarios, sketch the con- sumer's budget lines on one set of axes (i.e. put all three budget lines in one picture and label them 1, 2, and 3). Y is income, and pı and p2 are the prices of goods 1 and 2, respectively. (1) Y = 70, p1 = 5, p2 = 10 (2) Y = 70, p1 = 10, p2 = 10 (3) Y = 140, p1 = 10, p2 = 10 For the prices and income in part (1), solve for the optimal bundle for a con- sumer with each of the following utility functions: (i) U(q1, 42) = min{q1,5q2}; (ii) U (q1, 42) = 391 + 4q2; and (iii) U(41, 42) = q" 42 3/7 4/7 4 In each case, how would the optimal amounts of each good change if the prices and income were to change to those given in part (2)?
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