PROBLEM #$2$Select the most economical A$992$ steel interior building column based upon the following compressive load design criteria:Live Load:$2$nd Floor:Mezzanine:Roof:$100$ psf$50$ psf$50$ psfDead Load:$2$nd Floor:Mezzanine:Roof:$60$ psf$300$ psf$20$ psfThe $1$st floor contributes no load to the column, as the slab$-$on$-$grade construction passes loading directly into the subsurface below. The mezzanine is a storage area, located between the $2$nd floor and the roof, and for design purposes generates a loading condition similar to the $2$nd floor loading. The tributary area of loading for the interior column is equal to $15$ feet x $20$ feet. The column is $20$ feet tall between the floor slab and the second floor, and the end conditions are pinned at the top and fixed at the bottom.