2. (10%)Consider the Solow growth model without technological change. The production function is $Y = K^{1/3}L^{2/3}$, where K and L represent the total capital and workers used, respectively. The parameters of the model are given by s = 0.36 (savings rate) and d = 0.04 (depreciation rate). Let k denote capital per worker; y output per worker; c consumption per worker; i investment per worker. Find the steadystate level of the capitallabor ratio, $k^*$, if the population grows at fixed rate n = 5%.