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1. Lisa has $48 per week set aside for coffees (x) and lunches (z). The price of coffee is $4 and lunches are $6. What is Lisa's budget line equation (with z on the left-hand side)? Graph the budget line, and show how it changes when the price of lunches rise to $8 (including intercepts). What is the new budget line equation? 2. Suppose utility for a consumer of movies (x) and golf (z) is U = 20x0.420.5. The consumer has set aside $1000 to consumer movies and golf for a year. a. If the price of movies is $20 and the price of golf is $40, what is the utility-maximizing consumption of movies and golf? b. Show the optimal consumption bundle on a graph, showing a budget line (with intercepts), a tangent indifference curve, and the optimal choice. 3. Sam has set aside $480 for entertainment this month, which is golf (x) and/or bowling (z). A round of golf is $40 and a night of bowling is $30. His utility function is U = 3x + 2z. a. What is his MRS? b. Solve for the optimal choice of golf and bowling. c. Draw a graph of the budget line (including intercepts), a few indifference curves, and the optimal choice for Sam.

1. Lisa has $48 per week set aside for coffees (x) and lunches (z). The price of coffee is $4 and lunches are $6. What is Lisa's budget line equation (with z on the left-hand side)? Graph the budget line, and show how it changes when the price of lunches rise to $8 (including intercepts). What is the new budget line equation? 2. Suppose utility for a consumer of movies (x) and golf (z) is U = 20x0.420.5. The consumer has set aside $1000 to consumer movies and golf for a year. a. If the price of movies is $20 and the price of golf is $40, what is the utility-maximizing consumption of movies and golf? b. Show the optimal consumption bundle on a graph, showing a budget line (with intercepts), a tangent indifference curve, and the optimal choice. 3. Sam has set aside $480 for entertainment this month, which is golf (x) and/or bowling (z). A round of golf is $40 and a night of bowling is $30. His utility function is U = 3x + 2z. a. What is his MRS? b. Solve for the optimal choice of golf and bowling. c. Draw a graph of the budget line (including intercepts), a few indifference curves, and the optimal choice for Sam.

Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter6: Consumer Choice And Demand
Section: Chapter Questions
Problem 2QFR
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1. Lisa has $48 per week set aside for coffees (x) and lunches (z). The price of coffee is $4 and lunches are $6. What is Lisa's budget line equation (with z on the left-hand side)? Graph the budget line, and show how it changes when the price of lunches rise to $8 (including intercepts). What is the new budget line equation? 2. Suppose utility for a consumer of movies (x) and golf (z) is U = 20x0.420.5. The consumer has set aside $1000 to consumer movies and golf for a year. a. If the price of movies is $20 and the price of golf is $40, what is the utility-maximizing consumption of movies and golf? b. Show the optimal consumption bundle on a graph, showing a budget line (with intercepts), a tangent indifference curve, and the optimal choice. 3. Sam has set aside $480 for entertainment this month, which is golf (x) and/or bowling (z). A round of golf is $40 and a night of bowling is $30. His utility function is U = 3x + 2z. a. What is his MRS? b. Solve for the optimal choice of golf and bowling. c. Draw a graph of the budget line (including intercepts), a few indifference curves, and the optimal choice for Sam.
Transcribed Image Text:1. Lisa has $48 per week set aside for coffees (x) and lunches (z). The price of coffee is $4 and lunches are $6. What is Lisa's budget line equation (with z on the left-hand side)? Graph the budget line, and show how it changes when the price of lunches rise to $8 (including intercepts). What is the new budget line equation? 2. Suppose utility for a consumer of movies (x) and golf (z) is U = 20x0.420.5. The consumer has set aside $1000 to consumer movies and golf for a year. a. If the price of movies is $20 and the price of golf is $40, what is the utility-maximizing consumption of movies and golf? b. Show the optimal consumption bundle on a graph, showing a budget line (with intercepts), a tangent indifference curve, and the optimal choice. 3. Sam has set aside $480 for entertainment this month, which is golf (x) and/or bowling (z). A round of golf is $40 and a night of bowling is $30. His utility function is U = 3x + 2z. a. What is his MRS? b. Solve for the optimal choice of golf and bowling. c. Draw a graph of the budget line (including intercepts), a few indifference curves, and the optimal choice for Sam.
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