2. (10 points) Solve the following optimization problem graphically.

Min F(X, X) = (X 3) + (X 3)

S.T

g(X, X): X + X 4

X, X 0

- 10 X 10

-10 X 10

Note: Please feel free to use any tool (excel, Matlab, by hand, etc.) to solve this. You can also use the following to plot the contours. These two options are easier.

i. Wolfram alpha (https://www.wolframalpha.com/)

ii. Academo contour plotter (https://academo.org/demos/contour-plot/) If you are using one of the above, please include the constraint line in the plot, and clearly label all necessary elements.

2. (10 points) Solve the following optimization problem graphically. MinF(X1,X2)STg(X1,X2)X1,X2010X210=(X13)2+(X23)2:X1+X2410X110 Note: Please feel free to use any tool (excel, Matlab, by hand, etc.) to solve this. You can also use the following to plot the contours. These two options are easier. i. Wolfram alpha (https://www.wolframalpha.com/) ii. Academo contour plotter (hittps://academo.org/demos/contour-plot) If you are using one of the above, please include the constraint line in the plot, and clearly label all necessary elements. 2. (10 points) Solve the following optimization problem graphically. MinF(X1,X2)STg(X1,X2)X1,X2010X210=(X13)2+(X23)2:X1+X2410X110 Note: Please feel free to use any tool (excel, Matlab, by hand, etc.) to solve this. You can also use the following to plot the contours. These two options are easier. i. Wolfram alpha (https://www.wolframalpha.com/) ii. Academo contour plotter (hittps://academo.org/demos/contour-plot) If you are using one of the above, please include the constraint line in the plot, and clearly label all necessary elements