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 $n = 5\%$.