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B) Suppose that output , Y, is produced by combination of physical capital, K, and with skilled labor, H, according the CRS, Cobb-Douglas production function
B) Suppose that output , Y, is produced by combination of physical capital, K, and with skilled labor, H, according the CRS, Cobb-Douglas production function is: Y = K (AH)1- where A represents labor-augmenting technology that grows exogenously at rate g. H = el where u denotes the faction of an individual's time spent learning skills, y is positive constant and L is total amount of labour. H/L = h. The physical capital accumulation equation is given as: K = sqY 8K where sy is the investment rate for phusical capital and 8 is the constant depreciation. (1) Derive the above production function to write in the per effective worker form. (ii) Suppose law of motion is derived from the above equation system is: k = sx - (n+8+ g)k. Use law of motion to derive the steady state value of output per worker y* (note: it is not output per effective per worker). B) Suppose that output , Y, is produced by combination of physical capital, K, and with skilled labor, H, according the CRS, Cobb-Douglas production function is: Y = K (AH)1- where A represents labor-augmenting technology that grows exogenously at rate g. H = el where u denotes the faction of an individual's time spent learning skills, y is positive constant and L is total amount of labour. H/L = h. The physical capital accumulation equation is given as: K = sqY 8K where sy is the investment rate for phusical capital and 8 is the constant depreciation. (1) Derive the above production function to write in the per effective worker form. (ii) Suppose law of motion is derived from the above equation system is: k = sx - (n+8+ g)k. Use law of motion to derive the steady state value of output per worker y* (note: it is not output per effective per worker)
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