Graphical solution; nonlinear program. consider the following nonlinear program:
min f(x1, x2) = x1
s. t. x^2_1\leq x_2
x^2_1 +x^2_2 \leq 4
(a) solve the problem graphically. (feel free to use computer software to plot the nonlinear functions.) make sure to clearly label the constraints, show objective contours, and shade the feasible region. (using matlab software if possible)
(b) is the optimal solution an extreme point of the feasible region? explain.