The production function of a closed economy is given by (1) Y = F(K, L) = KL- The labor force grows exogenously at the rate n. The equation describing the accumulation of the capital stock is as usual given by = sF(K, L) SK...... (2) with s indicating the exogenous saving rate and 8 indicating the depreciation rate of capital. 2.a) [6 points] Write equations (1) and (2) in per-worker terms. Use small letters like k (=K/N) and y (=Y/N) to indicate the corresponding per worker variables. Support your answer with a detailed explanation of how you reached your conclusion. Do not forget to use as many equations as needed. copyright 2.b) [6 points] Derive the steady state values of capital and income per worker as a function of s, 8, n and x. Support your answer with a detailed explanation of how you reached your conclusion. Do not forget to use as many equations and identities as needed. copyright