macro economics

Consider the following production function: Y = AK + BKL1-a Assume that the law of motion for capital is Kt+1 = sYt + K+ 8Kt (a) Use Excel to produce a graph of output over time for 200 years, assuming s = 0.2, A = B = 1, 8 = 0.05, L = 1, a = 0.3 and a capital stock at date t = 0) equal to 1. (b) Does growth get exhausted as in the basic Solow model? (c) Compute the marginal product of capital m(K). Consider the following production function: Y = AK + BKL1-a Assume that the law of motion for capital is Kt+1 = sYt + K+ 8Kt (a) Use Excel to produce a graph of output over time for 200 years, assuming s = 0.2, A = B = 1, 8 = 0.05, L = 1, a = 0.3 and a capital stock at date t = 0) equal to 1. (b) Does growth get exhausted as in the basic Solow model? (c) Compute the marginal product of capital m(K)