Solve the following linear program using the simplex method. Explain each simplex pivot by showing the simplex tableau for cach extreme point visited. Start with the initial solution xi - 0 and x: - 0. Compute the value of the objective function and decision variables at optimality. Maximize: 7.- 9x1+ 6x2 Subject to: 3x 2x2 S 30 -6x1 + 3x2 s 12 4x1 - 2x2 s 24 X2 X1, X2 20

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