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?

Microeconomic Theory
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Chapter13: General Equilibrium And Welfare
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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?
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).
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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