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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc4d5163-596a-4541-9fc0-9d620b6eb3a3%2Fcf6d9159-a081-4e48-8992-ce5ed85b6656%2Fpmtylu_processed.png&w=3840&q=75)
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.
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