5.3 Consider the following problem. min f(x) = x1 + 10x2 3x1x2 (5.42) subject to 2x1 + x2 2 4 x1 + x2 2-5 -5 4. Report the optimum value of x, and Xy, and the corresponding minimum value of f(x). (C) Now, solve the same problem by removing all the constraints. Report the optimum value of xy and X2, and the corresponding minimum value of f(x). (d) Create a contour plot similar to Fig. 1.11 (a) showing the contours of the objective function. Show on it the locations of the optima obtained in Parts (a) -(C). 5.3 Consider the following problem. min f(x) = x1 + 10x2 3x1x2 (5.42) subject to 2x1 + x2 2 4 x1 + x2 2-5 -5 4. Report the optimum value of x, and Xy, and the corresponding minimum value of f(x). (C) Now, solve the same problem by removing all the constraints. Report the optimum value of xy and X2, and the corresponding minimum value of f(x). (d) Create a contour plot similar to Fig. 1.11 (a) showing the contours of the objective function. Show on it the locations of the optima obtained in Parts (a) -(C)