Ex. 3 Consider the following problem: Maximize 2x1 subject to + x2 x1 + 2x2 2x1 + 3x2 - X3 +6x3 + 4x3 - - 4x4 x4 + x4 + x3 x4 x1 x1, X2, x3, x4 VI VI VI ɅI ≤ 6 < 12 S 2 > 0. Find a basic feasible solution with the basic variables as x1, x2, and x4. Is this solution optimal? If not, then starting with this solution find an optimal solution.

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