Situation $2$: A $)=(248$MPa column carry an axial compression load of $900kN$ dead load and $1000kN$ live load. The idealized support conditions are that the member is hinged in both principal directions at the top of a $8\mathrm{.}0m$ height; supported in the weak direction at $3\mathrm{.}3m$ and $6\mathrm{.}2m$ from the bottom; and fixed in both directions at the bottom. Use LRFD$.$

Properties of $W410100$ :

$A_g=12600m{m}^2$

$I_x=397({10}^6)m{m}^4,I_y=49\mathrm{.}5({10}^6)m{m}^4$

Which of the following most nearly gives the largest slenderness ratio of the column?

a$.22\mathrm{.}60$

c$.36\mathrm{.}96$

b$.46\mathrm{.}40$

d$.52\mathrm{.}80$

Which of the following most nearly gives the design compressive strength of the column?

a$.2737kN$

c$.2617kN$

b$.2428kN$

d$.2511kN$

Which of the following most nearly gives the demand to capacity ratio of the column?

a$.0\mathrm{.}979$

c$.1\mathrm{.}024$

b$.1\mathrm{.}104$

d$.1\mathrm{.}067$