Using the ACI$-$Code approximate structural analysis, design for a warehouse, a continuous one$-$way solid slab supported on beams $4\mathrm{.}0m$ apart as shown in the figure. Assume that the beam webs are $30cm$ wide. The dead load is $3k\frac{N}{m^2}$ in addition to the own weight of the slab, and the live load is $3k\frac{N}{m^2}.$ Use $f\text{'}=28$MPa,$f_y=420$MPa Calculate the factored load $w_u$ per unit length of the selected strip $($Assume slab thickness $=0\mathrm{.}17m)?$

a$.7\mathrm{.}5k\frac{N}{m}$

b$.4\mathrm{.}25k\frac{N}{m}$

c$.22\mathrm{.}5k\frac{N}{m}$

d$.13\mathrm{.}5k\frac{N}{m}$