Question: 1. Use the tableau implementation of the simplex algorithm to solve the following linear opti- mization problem: minimize 2x1 + 6x2 x3 4x4 subject to

1. Use the tableau implementation of the simplex algorithm to solve the following linear opti- mization problem: minimize 2x1 + 6x2 x3 4x4 subject to 2x1 + 3x2 + 8x3 + x4 5 14 5x1+ 7x2 + 3x3 3x4 S 5 8x1 3x2 4x3 +x4 S 5 3x12x2 4x3 +2764 21 6x1+5x2 8x3 + 3x4 2 ll 2x14x2 +5x3 +0174 2 7 x2 2 O Explain briey all steps of your work. You must show all tableaux. For each tableau, state explicitly 0 the current basic variables; 0 the current basic feasible solution and its objective value; 0 the pivot column, the pivot row, and the pivot element; 0 and the sequence of elementary row operations of the pivot to be performed on the current tableau

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