Consider the following constrained optimization problem:

Minimize $f=x_1^3-6x_1^2+11x_1+x_3$

subject to

$x_1^2+x_2^2-x_3^{2}0$

$4-x_1^2-x_2^2-x_3^{2}0$

$x_3-50$

$-x_{i}0$;$i=1,2,3$

Define the fitness function to be used in GA for this problem.

matlab code