a$)$ Maximize the objective function $f(x,y)=\frac{x}{y},$ where $x$ can take any value from

$\{0,1,$dots,$127\}$ and $y$ can take any value from $\{1,2,$dots,$31\}$ using genetic

algorithm approach. To start with, select the initial population of size $4$ as given

$x=\{1,10,20,31\}$ and $y=\{5,10,15,20\}.$ Show all the process of crossover,

mutation and selection. Find the value of objective function and the new

generation $(x,y)$ after one iteration.