For a $24$ joist $(16"$ o$.$c$.)$ made of No$.1$ Dense Southern Pine with an $f{b}_b$ of $2\mathrm{.}000,C_D=1\mathrm{.}15,C_M=1\mathrm{.}0,C{l}_l=1\mathrm{.}0,C_L=1\mathrm{.}0,C_F=1\mathrm{.}0,C_{fu}=1\mathrm{.}0C_i=\frac{1\mathrm{.}0}{C_r}=1\mathrm{.}15.C_b=1\mathrm{.}2,K_F=\frac{2\mathrm{.}16}{{}_b},{}_b=0\mathrm{.}85,$ and $=0\mathrm{.}8$ what is the factored bending stress, $f_b,($in units of psi$)?[4$ points$]$