5.3 Consider the following problem. minf(x)=x+10x-3x1x2 subject to 2x1+x224 x1+x2-5 -5x1.x25 (5.42) (5.43) (5.44) (5.45) (a)...

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5.3 Consider the following problem. minf(x)=x+10x-3x1x2 subject to 2x1+x224 x1+x2-5 -5x1.x25 (5.42) (5.43) (5.44) (5.45) (a) Solve the above problem using MATLAB. Report the optimum value of x and x2, and the corresponding minimum value of f(x). (b) Solve the above problem by removing the first constraint 2x1 + x2 4. Report the optimum value of x and X2, and the corresponding minimum value of f(x). (c) Now, solve the same problem by removing all the constraints. Report the optimum value of x 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. minf(x)=x+10x-3x1x2 subject to 2x1+x224 x1+x2-5 -5x1.x25 (5.42) (5.43) (5.44) (5.45) (a) Solve the above problem using MATLAB. Report the optimum value of x and x2, and the corresponding minimum value of f(x). (b) Solve the above problem by removing the first constraint 2x1 + x2 4. Report the optimum value of x and X2, and the corresponding minimum value of f(x). (c) Now, solve the same problem by removing all the constraints. Report the optimum value of x 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).