A $11\text{'}-2"$ square spread footing supports an $18"$ square column carrying a dead load of PD$=400$ kips and PL$=270$ kips. The top of the footing will be covered with $6"$ of backfill with a unit weight of $120$lbf$/$ft$^3$ and a $6"$ concrete floor slab. For the footing, calculate the applied bearing pressure, the bearing capacity, and the factor of safety against bearing capacity failure. Assume c$\text{'}=500$ psf$,$ specific weight$=150$lbf$/$ft$^3$ and the ground water table is at depth Dw$=100\text{'}-0".$