A beam made with lightweight concrete $(($:$w_c=115pcf\}$ is reinforced with $3-$No$.9$ Grade $60$ longitudinal bars. The stirrups are No$.3$ bars. The beam carries its own weight plus an additional uniform service dead load of $0\mathrm{.}4$kip$\frac{s}{f}t$ and a uniform service live load of $0\mathrm{.}6$kip$\frac{s}{f}t.$ The concrete compressive strength at $28$ days is $4500.$ The beam is part of a balcony, so it is in cantilever and spans $10ft.$ Determine the maximum concentrated service dead load that can be applied at the tip of the beam. Assume the beam cross$-$section is $14$ in$.$ by $24$ in$.$