Consider an economy that produces two goods, an agricultural good and a manufacturing good. An amount YA of the agricultural good can be produced using the following equation: YA = LA where LA is the amount of labor used in this sector. An amount of YM of the manufacturing good can be produced using the following equation: YM = KθLM 1-θ where K is capital stock and LM is the amount of labor used in such sector. So, this economy’s total output (i.e. GDP) is: Y = YA + YM. This economy has zero population growth rate (i.e. n = 0) and the depreciation rate is δ. The total number of workers in the economy is L and of course, L = LM + LA. Let P = LA/L. Furthermore, define: y = Y/L, k = K/L and c = C/L. As usual, we have: ∆k = sy – (δ+n)k. Please use the above information to derive the key equation for this version of Solow model. Show the steady state of the economy is a diagram with k as the x-axes. Label k* , y* and c* in your diagram.
Consider an economy that produces two goods, an agricultural good and a manufacturing good. An amount YA of the agricultural good can be produced using the following equation: YA = LA where LA is the amount of labor used in this sector. An amount of YM of the manufacturing good can be produced using the following equation: YM = KθLM 1-θ where K is capital stock and LM is the amount of labor used in such sector. So, this economy’s total output (i.e.
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