Problem $2(4\mathrm{.}20)$ Determine the required area of reinforcement and the corresponding steel bar selection for the section in the figure of problem # $1$ and, use same material strength, if the factored moment is $($a$)10,000$ in$-$kips and $($b$)5000$ in$-$kips.

$f_c^{\text{'}}$:$=3000*$

$f_y$:$=60000*$

$b$:$=36*inh$:$=36*in{b}_w$:$=8*in$

$h_f$:$=4*in$

$d$:$=h-y_s=33\mathrm{.}5in$