Manually solve the following linear program (which could result from a production problem) following the simplex algorithm. Start from the obvious basic feasible solution of Xb = (X3, X4, X5 ) = (18, 4, 12). You may use excel to carry out calculations in simplex tableau if it helps, but please include all tableaus from all iterations in your submitted work. Maximize: 30 X1 + 50 X2 Subject to: 3X1 +5X2 +X3=18. X1 +X4 =4. 2X2 +X5 =12. X1, X2, X3, X4, X5 >= 0.
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