Question $2$: For the beam Cross$-$Section shown in Figure $2$

$($i$)$ Design the compression reinforcement such that $\frac{x}{d}=0\mathrm{.}5$

$($ii$)$ Determine the ultimate moment of resistance of the resulting cross$-$section after designing for the compression reinforcement.

Please make the necessary assumptions where necessary.

Use $f_{cu}=25\frac{N}{m}{m}^2$ and $f_y=500\frac{N}{m}{m}^2$

Figure $2.$ Cross section of a rectangular beam $($All dimensions are in $mm)$