In this homework we will do a little constrained optimization to approixmate local minima of some function

## To do this you will use penalty methods

## See the slides for further information

## Here is your optimization problem

## Minimize f$($x$,$y$)=($x$^2+$ y $-11)^2+($x$+$ y$^2-7)^2$

## subject to norm$([$x$,$y$])<=3\mathrm{.}60$

## and x$+$y $=5$