Problem 2: Write a MATLAB script the perform the simplex method using the Big M method Test your script using the following examples Input the information manually Use inf ( infinity in MATLAB) for the value of M Show the progress at each iteration Show the final solution Example #03 Solve the following problem using the Big M method. max: z = 3x + 2x + 6x3 Subject to 4x1 + x + x3 100 x + x 40 x2 + x3 30 Example #04 Solve the following problem using the Big M method. Subject to max: z = 4x + 5x-3x3 x + 2x + x3 = 10 x - x +26 x + 3x + x3 14