Solve the following quadratic program:

Minimize $($ x $1)^2+($ y $2\mathrm{.}5)^2$ subject to:

x $2$ y $+2>=0,$ x $2$ y $+6>=0,$ x $+2$ y $+2>=0,$

x $>=0,$ y $>=0,$

computationally by the primal$-$dual interior point method. You may

use complementarity measure $\backslash$mu to terminate the iterations when it is

below $1.$e $-4.$

Plot the feasible domain along with the trajectory of iterations.