Question: Consider two economies, A and B.Both have the same amount of labor, L, and land T, but country A has twice as much capital (K)
Consider two economies, A and B.Both have the same amount of labor, L, and land T, but country A has twice as much capital (K) as country B.
Consider a 2-sector general equilibrium model with agriculture and non-agriculture as the two sectors.You can assume that land is a specific factor in agriculture and capital is a specific factor in non-agriculture.Labor is used in both agriculture and non-agriculture. You can also assume that the two countries have the same production functions for agriculture and non-agriculture.
(a) Write down the production functions for agriculture and non-agriculture.
(b) Assume that the price of the non-agricultural good is one, the price of the agricultural good is p, and MPLA is the marginal product of labor in agriculture, and MPLB is the marginal product of labor in non-agriculture.Write down the equation for equilibrium in the labor market.
(c) Assume that the prices of the agricultural good (p) and the non-agricultural good (1) are fixed.What does this imply about the relative demand for the agricultural good?
(d) Again, assuming that the prices are fixed, which country has the higher share of the labor force in agriculture? Which country has the higher wage in non-agriculture?
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