A simple problem can be defined by the constraints

$x_{1}0$

$x_{2}0$

$x_1^2+x_2^{2}1$

$x_1^2+x_2^{2}2$

with an objective function to be maximized

$f(x)=x_1+x_2$

where $x=(x_1,x_2).,$ Solve Problem