Consider the Specific Factors model with two countries, Home and Foreign, with two goods, cars (c) and pharmaceutical drugs (d), and three factors, capital K, skilled labour S, and unskilled labour L. The production functions are given by Fe(Kc, Lc) = K² Lễ and Fa(Ka, Sa) = KS. = That is, skilled labour is specific to pharmaceutical drugs, and unskilled labour to cars. Suppose that the countries' factor endowments are KH = 2 = KF, LH = 1 and LF = 3/2, and SH = 1 and SF : 1/2, so that the total labour force is 2 in both countries. The price of capital is denoted by r, the price of skilled and unskilled labour by w, and w₁. Denote the goods' prices by pc and pa, and normalise pa = 1 for simplicity. The demand for cars and drugs in country j = H, F is given by 2 and : 2Yj 3 på where y denotes aggregate income in country j. = and - 1Yj 3 ра (d) With free trade in both goods c and d, which good will Home export, and will skilled or unskilled workers be better off? Explain or compute.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the Specific Factors model
with two countries, Home and Foreign, with two goods, cars (c) and pharmaceutical
drugs (d), and three factors, capital K, skilled labour S, and unskilled labour L. The
production functions are given by
1
F.(Ke, L.) = K. Lễ and Fa(Ka, Sa) = K}S}.
That is, skilled labour is specific to pharmaceutical drugs, and unskilled labour to
cars. Suppose that the countries' factor endowments are KH
and LF = 3/2, and SH
2 = KF, LH
1/2, so that the total labour force is 2 in
: 1
1 and SF
||
both countries. The price of capital is denoted by r, the price of skilled and unskilled
labour by w, and wi. Denote the goods' prices by pc and pd, and normalise pd =
for simplicity.
The demand for cars and drugs in country j = H, F is given by x and x:
2Yi
and ra
3 pe
1yi
||
3 pa
where Y' denotes aggregate income in country j.
(d) With free trade in both goods c and d, which good will Home export, and will
skilled or unskilled workers be better off? Explain or compute.
Transcribed Image Text:Consider the Specific Factors model with two countries, Home and Foreign, with two goods, cars (c) and pharmaceutical drugs (d), and three factors, capital K, skilled labour S, and unskilled labour L. The production functions are given by 1 F.(Ke, L.) = K. Lễ and Fa(Ka, Sa) = K}S}. That is, skilled labour is specific to pharmaceutical drugs, and unskilled labour to cars. Suppose that the countries' factor endowments are KH and LF = 3/2, and SH 2 = KF, LH 1/2, so that the total labour force is 2 in : 1 1 and SF || both countries. The price of capital is denoted by r, the price of skilled and unskilled labour by w, and wi. Denote the goods' prices by pc and pd, and normalise pd = for simplicity. The demand for cars and drugs in country j = H, F is given by x and x: 2Yi and ra 3 pe 1yi || 3 pa where Y' denotes aggregate income in country j. (d) With free trade in both goods c and d, which good will Home export, and will skilled or unskilled workers be better off? Explain or compute.
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