Chapter 15, Problem 7P

Consider the following constrained nonlinear optimization problem:

Minimize $$ $f\left(x,y\right)={\left(x-3\right)}^2+{\left(y-3\right)}^2$

Subject to

$x+2y=4$

(a) Use a graphical approach to estimate the solution.

(b) Use a software package (for example, Excel) to obtain a more accurate estimate.