Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and they have the same preferences over consumption, represented by the utility function: u(11,72) = In z1 + In I2. However, there are twice as many type-h agents as type-g agents. The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest producing berries then his output is (yf , v£) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction ß of her day producing meat and the rest producing berries then her output is (vỉ, vž) = (38, 12(1 – B)). Which of the following statements is correct? O a. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and p units of good 2 (berries). Each agent of type g demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). O b. Given equilibrium price p, each agent of type h demands 1/p unit of good 1 (meat) and 1 units of good 2 (berries). Each agent of type g demands 6 units of good 1 (meat) and 6/p units of good 2 (berries). O c. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and one units of good 2 (berries). Each agent of type g demands six units of good 1 (meat) and six units of good 2 (berries). O d. Given equilibrium price p, each agent of type h demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). Each agent of type g demands one unit of good 1 (meat) and p units of good 2 (berries).
Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and they have the same preferences over consumption, represented by the utility function: u(11,72) = In z1 + In I2. However, there are twice as many type-h agents as type-g agents. The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest producing berries then his output is (yf , v£) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction ß of her day producing meat and the rest producing berries then her output is (vỉ, vž) = (38, 12(1 – B)). Which of the following statements is correct? O a. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and p units of good 2 (berries). Each agent of type g demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). O b. Given equilibrium price p, each agent of type h demands 1/p unit of good 1 (meat) and 1 units of good 2 (berries). Each agent of type g demands 6 units of good 1 (meat) and 6/p units of good 2 (berries). O c. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and one units of good 2 (berries). Each agent of type g demands six units of good 1 (meat) and six units of good 2 (berries). O d. Given equilibrium price p, each agent of type h demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). Each agent of type g demands one unit of good 1 (meat) and p units of good 2 (berries).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and
they have the same preferences over consumption, represented by the utility function: u(x1, 22) = In r1 + In #2. However, there are twice as
many type-h agents as type-g agents.
The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest
producing berries then his output is (yf, y ) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction B of
her day producing meat and the rest producing berries then her output is (v7, y2) = (38, 12(1 – B)).
Which of the following statements is correct?
a. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and p units of good 2 (berries). Each agent of type g
demands 6/p units of good 1 (meat) and 6 units of good 2 (berries).
O b. Given equilibrium price p, each agent of type h demands 1/p unit of good 1 (meat) and 1 units of good 2 (berries). Each agent of type g
demands 6 units of good 1 (meat) and 6/p units of good 2 (berries).
O c. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and one units of good 2 (berries). Each agent of type
g demands six units of good 1 (meat) and six units of good 2 (berries).
O d. Given equilibrium price p, each agent of type h demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). Each agent of type g
demands one unit of good 1 (meat) and p units of good 2 (berries).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ed38a9d-d1f2-4a1d-adb6-65ecba68c2cb%2F6e8ed4e8-b92c-49e5-8f3d-ca9f2579614b%2Fx6f8n6_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and
they have the same preferences over consumption, represented by the utility function: u(x1, 22) = In r1 + In #2. However, there are twice as
many type-h agents as type-g agents.
The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest
producing berries then his output is (yf, y ) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction B of
her day producing meat and the rest producing berries then her output is (v7, y2) = (38, 12(1 – B)).
Which of the following statements is correct?
a. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and p units of good 2 (berries). Each agent of type g
demands 6/p units of good 1 (meat) and 6 units of good 2 (berries).
O b. Given equilibrium price p, each agent of type h demands 1/p unit of good 1 (meat) and 1 units of good 2 (berries). Each agent of type g
demands 6 units of good 1 (meat) and 6/p units of good 2 (berries).
O c. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and one units of good 2 (berries). Each agent of type
g demands six units of good 1 (meat) and six units of good 2 (berries).
O d. Given equilibrium price p, each agent of type h demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). Each agent of type g
demands one unit of good 1 (meat) and p units of good 2 (berries).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education