A country has the per$-$worker production function yt$=6$kt$2/3,$ where yt$$ is output per worker and kt$$ is the capital$-$labor ratio. The depreciation rate is $0\mathrm{.}1$ and the population growth rate is $0\mathrm{.}1.$ The saving function is St$=0\mathrm{.}1$Yt$,$ where St$$ is total national saving and Yt$$ is total output. $($a$)$ What is the steady$-$state value of capital$-$labor ratio? $(4$ points$)($b$)$ What is the steady$-$state value of output per worker? $(3$ points$)($c$)$ What is the steady$-$state value of consumption per worker? $(3$ points$)$