Consider the Original Solow~Swan growth model, tvhich starts rorn an aggregate production Function, of the Cobb - Douglas type: rugs) = Y = sacral-s, e g a: g 1. Asswne that at an initial (shortrun) equilibrium K0 = 10 (expressed in Billion SEK) and L0 = 4 (million), or 2 1/3 and B = 1. (a) (b) What is aggregate output at time t 2 0 (YD)? What is output per labor (yo = Y/L)? What is the physical marginal product of labor? If the price of ouput is p = 1, what is the real wage: given perfect competition on factor markets? If the depreciation rate, :5, is equal to 5% of the capital stock, What is the net national product? T\\lie'hat is the totai income to capital? What is the rate of return on capital after taking account of depreciation? Round to two decimals. Assume that the country under stud}r is a closed economy so that domestic investment equals domestic savings. Assume also that each worker saves a xed fraction, \"f : 0.10, of the gross incorne. Invest- ment per worker is therefme: i : 73;. The depreciatiorr of capital is the same as above, 6 : 0.05. Find an equation for the develop- ment of the capital stock per worker (the transition equation]. Set this equation equal to zero and solve for the steady state capital stock per worker, 133. What is the output per worker (3:33] in this steady-state? "What is capital per Worker in the steady state