Question: Consider the following optimization problem. Maximize: 2x1 + 52 Subject to: 21 2x + 21 5 5 22 22 11 20 *2 3 0

Consider the following optimization problem. Maximize: 2x1 +52 Subject to: 21 2x + 21 22 22 5 5 11 20 *2 3

Consider the following optimization problem. Maximize: 2x1 + 52 Subject to: 21 2x + 21 5 5 22 22 11 20 *2 3 0 a) Using MATLAB, plot the feasible region on the cartesian plane (as in slide 4 of L2s2). You must upload your MATLAB code. b) Using MATLAB, plot 1. the feasible region, and ii. the contour lines of the objective function on the same cartesian plane (as in slide 6 of L2s2). Hint: You may use the MATLAB function 'fcontour'. You must upload your MATLAB code. c) Solve the optimization problem using the Simplex method. d) Solve the optimization problem using the MATLAB function 'linprog'.

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