$2.$ A concrete floor deck $(12$ft x $40$ft$)$ will be supported by four $(4)12-$foot$-$long cantilever beams, spaced at $10-$foot center to center $($shown below$).$ The floor carries a live load of $40$lb$/$ft$2$ and the slab depth is $6$ inches $($Assumed $150$lb$/$ft$3$ for unit weight$).$ At the end of each beam is subjected to a Point load $($P$)$ comprised of $2-$kip dead load and a $5-$kip live load $($shown below$).$

Calculate the maximum moment and maximum shear utilizing the load factors associated with the:

A$)$ Allow Stress Design Methodology

B$)$ Ultimate Strength Design Methodology