QUESTION 4 A small open economy produces two goods, 1 and 2, at output levels y, i = 1, 2. Output prices are set on world markets and denoted P1, P2. The economy is endowed with quantities L of labour and K of capital. Capital is used in sector 2 only, and labour is used in both sectors, Li denoting the use of labour in sector i = 1,2. The wage rate and the capital rental rate are w and r, respectively. The production function for good 1 is 1 L₁, and good 2 has production function 1/2 = √KL2. What is the equilibrium allocation of labour between sectors (expressed as a function of goods' prices and endowments)? O a. L₁ L-(K, L₂ = (1)²K. O b. L (K, L₂ = L-(,)²K. O c. L₁ =0, L2 = L. O d. L₁ =L, L2 = 0.
QUESTION 4 A small open economy produces two goods, 1 and 2, at output levels y, i = 1, 2. Output prices are set on world markets and denoted P1, P2. The economy is endowed with quantities L of labour and K of capital. Capital is used in sector 2 only, and labour is used in both sectors, Li denoting the use of labour in sector i = 1,2. The wage rate and the capital rental rate are w and r, respectively. The production function for good 1 is 1 L₁, and good 2 has production function 1/2 = √KL2. What is the equilibrium allocation of labour between sectors (expressed as a function of goods' prices and endowments)? O a. L₁ L-(K, L₂ = (1)²K. O b. L (K, L₂ = L-(,)²K. O c. L₁ =0, L2 = L. O d. L₁ =L, L2 = 0.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:QUESTION 4
A small open economy produces two goods, 1 and 2, at output levels y;, i = 1, 2. Output prices are set on world markets and denoted p1, P2.
The economy is endowed with quantities L of labour and K of capital. Capital is used in sector 2 only, and labour is used in both sectors, L;
denoting the use of labour in sector i = 1, 2. The wage rate and the capital rental rate are w and r, respectively. The production function for good
1 is y1 = L1 , and good 2 has production function y2 = VKL2.
What is the equilibrium allocation of labour between sectors (expressed as a function of goods' prices and endowments)?
O a. L = L – ()°K,L2 = (K.
O b. L = (K, L2 = L – ()°K.
O c. L1 = 0, L2 = L.
O d. L = L, L2 = 0.
%3D
Consider the economy form Question 4. Suppose that there is another economy, which is identical to the first one but has a greater endowment
of capital K' > K.What is the output of good 2 in either economy? Assuming that consumers in both countries are identical, what is the
pattern of trade between those two countries?
a. The first country produces y2 = K and the second country produces y, = K'. Therefore, the first country exports good 1 and
2p,
imports good 2.
O b. The first country produces y2 = L –-K and the second country produces y, = L – K'. Therefore, the first country exports
%3D
good 2 and imports good 1.
O c. The first country produces y2 = K and the second country produces y, = K'. Therefore, the first country imports good 1 and
exports good 2.
O d. The first country produces y2 = L – K and the second country produces y2 = L – K'. Therefore, the first country imports
%3D
2p
2p.
good 2 and exports good 1.
Expert Solution

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 4 steps with 12 images

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


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education