This problem $(and$ assignment$)is$ extra credit!

Extra credit $(20pts)$: Consider the multiobjective problem from the slides:

changing: $x_1,x_2$

minimize: $f(x)={\left[\begin{array}{cc}{x}_1& \frac{1+x_2}{x_1}\end{array}\right]}^{TT}$

subject $to$: $9x_1+x_{2}6$

$9x_1-x_{2}1$

$0\mathrm{.}1x_{1}1$

$0x_{2}5$

$(a)$ Using the epsilon$-$constraint method, replicate the Pareto front shown $in$ the

slides.

$(b)$ Plot the Pareto set and identify the points that correspond $to$ the extremes and

the "kink" near the center $in$ the Pareto front.