2. Numerical analysis on the convergence of the Solow economy. For convenience, let the number of workers be 1 (it can be in millions). Then the Cobb- Douglas production function reduces to Yt = Kg", where a = 0.36. Suppose saving rate is S = 0.2, and capital depreciation rate is 6 = 0.1. (a) Solve the steady-state capital and output. (b) Fill in the blanks of the following table. Note that 9;; = (Yt+1 Yt)/Yt. (You may want to use Excel to answer this question. It will be much easier.) U 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20(c) From the results in (b), do you see that Kt and Yt are converging to their steady-state values you calculated in (a)? What do you think makes the economy converge to a steady state? (d) Check the growth rates of output over years (gy), what do you observe