A compression member shown below is pinned at both ends and supported in the weak direction at mid span. A service dead load of $250$ kips and a service live load of $400$ kips must be supported. Use Fy $\backslash (=65\backslash$mathrm$\{$ksi$\}\backslash )$ and verify that W$12$X$72$ is adequate using:

a$)$ Equation E$3-2$ or E$3-3$

b$)$ Table $4-1$

c$)$ Table $4-14$

d$)$ Check local stability

$\backslash ($ x $\backslash )-$direction

y $-$direction