Consider the task of using a Genetic Algorithm to optimise the function

f$($x$)=3$ x

for a given x$.$

$($a$)$ Design an appropriate chromosome c$,$ for this task. Explain your decision. $(2)$

$($b$)$ Define a good fitness function to use for this task. Discuss your choice. $(4)$

$($c$)$ Generate an initial population of $10$ members, calculate the fitness values for

each of these, and rank them from most to least fit. Write your answer in the

form of a table.