Select the least$-$weight W$10,$ W$12,$ and W$14$ A$992$ column $($boxed in orange$)$ at the lowest level to carry six floors

of the following office building configuration and loading $($no reduction and ignore roof$)Lx=Ly=17ft.$ Which

column of the three would you pick and why?

Loads:

Blue $=$ office with no partition load

Yellow$=$is corridor space for small collaboration.

Deck & Concrete: $60$ psf ; Member allowance $6$psf

Carpet tile; ACT drop ceiling; MEPFP