Solve the NUM problem for $\backslash$alpha $=3$ in a non$-$SD$-$RAN setup for a base

station with $30$ PRBs$,5$ users with per$-$PRB rates R$1=0\mathrm{.}05$ Mbps$,$ R$2=0\mathrm{.}2$ Mbps$,$

R$3=0\mathrm{.}3$ Mbps$,$ R$4=0\mathrm{.}6$ Mbps$,$ and R$5=0\mathrm{.}7$ Mbps$.$ Which allocation policy is optimal?

Solve the problem both analytically and using CVX$.$ For the latter, provide the code as

well.