Given a production function $Y_t\frac{?}{b}=ar(A)\frac{K_t^{\frac{1}{3}}}{b}ar(L{)}^{\frac{2}{3}},$ if $\frac{?}{\text{b}\text{a}\text{r}}(A)=2\frac{,}{b}ar(L)=4\frac{,}{b}ar(s)=0\mathrm{.}2,$ and $\frac{?}{\text{b}\text{a}\text{r}}(d)=0\mathrm{.}05$ :

a$.$ Calculate the steady$-$state level of capital and output.

b$.$ Which will have a bigger impact on the steady$-$state level of capital, an increase in A to $2,5$ or an increase in s to $0\mathrm{.}3?$