Consider the following contraints:

x$1+$ x$2<=9(1)$

x$2<=3(2)$

x$1$ x$2>=0(3)$

x$1>=0(4)$

x$2>=0(5)$

Is there a MIN objective function that will have x$1=2$ and x$2=2$ as the unique optimal solution for

the constraints? If so provide one example. If not, give a brief explanation.