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, x2) = In x1 + In x2. 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, y5) = (2a, 2(1 – a)). A type- g agent is more productive. When she chooses to spend a fraction Bof her day producing meat and the rest producing berries then her output is (yi, yž) = (38, 12(1 – B)). Normalise the price of one unit of berries (good 2) to 1, and let p be the price of one unit of meat (good 1). Which of the following statements is true?
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, x2) = In x1 + In x2. 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, y5) = (2a, 2(1 – a)). A type- g agent is more productive. When she chooses to spend a fraction Bof her day producing meat and the rest producing berries then her output is (yi, yž) = (38, 12(1 – B)). Normalise the price of one unit of berries (good 2) to 1, and let p be the price of one unit of meat (good 1). Which of the following statements is true?
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.2P
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![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, x2) = In ¤1 + In x2. 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, y5) = (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 (yi, y)
(38, 12(1 – B)).
Normalise the price of one unit of berries (good 2) to 1, and let p be the price of one unit of meat (good 1).
Which of the following statements is true?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83f14b89-ea63-42d6-ad07-38e32c7bad9d%2F80e253cd-e416-45f4-9e91-7d9bef98c7ba%2Fu6p0w58_processed.jpeg&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, x2) = In ¤1 + In x2. 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, y5) = (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 (yi, y)
(38, 12(1 – B)).
Normalise the price of one unit of berries (good 2) to 1, and let p be the price of one unit of meat (good 1).
Which of the following statements is true?
![Consider the setup from Question 1. Which of the following statements is correct?
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).
a.
O b. Given equilibrium price p, each agent of type h demands 1/p unit of good 1 (meat) and l 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).
О с.
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 punits of good 2 (berries).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83f14b89-ea63-42d6-ad07-38e32c7bad9d%2F80e253cd-e416-45f4-9e91-7d9bef98c7ba%2F7laqke6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the setup from Question 1. Which of the following statements is correct?
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).
a.
O b. Given equilibrium price p, each agent of type h demands 1/p unit of good 1 (meat) and l 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).
О с.
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 punits of good 2 (berries).
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