A production function is given as below

$Y=K^{}{L}^{1-}$

a$.$ Find steady state for capital per effective worker $(k),$ output per effective worker $(y)$ and consumption per effective worker $(c)$ in term of parameters used in the model namely $s($saving rate$),n($population growth rate$),($depreciation rate$)$ and $g($growth rate of efficient worker$).$

b$.$ Find the golden rule of $k$

c$.$ Find the level of saving rate in order to obtain the golden rule capital stock?