Given the function f$($x$1,$ x$2)=$ x$1+$ x$1$x$2$ of the two parameters x$1$ and x$2,$

$1.$ Calculate the fitness of the two binary string representations $(011010,110011).$ Knowing

that each parameter is represented by three bits.

$2.$ Perform crossover on the two chromosomes after the $4$th bit from the left. Calculate the

new fitness of the resulting chromosomes.

$3.$ If we are minimizing f$($x$1,$ x$2),$ is there an overall improvement? How do you measure

the improvement? You may show a curve of convergence.