Slab design: A $9-$in$-$thick one$-$way slab shown below is reinforced with No$.3$ bars with spacing $=10in.$ The span length of the slab is $12ft.$ Knowing that the clear concrete cover is $\frac{3}{4}in.$ and material properties are $f_c^{\text{'}}=4000$ psi $($normal weight concrete$)$ and $f_y=60,000$ psi:

$($a$)$ Check whether the slab thickness meets ACI's requirements on minimum slab thickness. $(10$ points$)$

$($b$)$ Calculate the design flexural strength of a $1-$ft strip of the slab and check whether the design here meets ACI's requirements on minimum reinforcement area. $(15$ points$)$

$($c$)$ Calculate the design shear strength of a $1-ft$ strip of the slab. $(10$ points$)$