Question: 3. For each of the following linear programming models, give your recommendation on which is the more computationally efficient way to obtain an optimal solution:

3. For each of the following linear programming

3. For each of the following linear programming models, give your recommendation on which is the more computationally efficient way to obtain an optimal solution: by applying the simplex method directly to this primal problem or by applying the simplex method directly to the dual problem instead. Explain. (a) Maximize Z=10x14x2+7x3 subject to 3x1x2+2x325 x12x2+3x325 5x1+x2+2x340 x1+x2+x390 2x1x2+x320 and x10,x20,x30. (b) Maximize Z=2x1+5x2+3x3+4x4 +x5, subject to x1+3x2+2x3+3x4+x56 4x1+6x2+5x1+7x4+x315 and xj0, for j=1,2,3,4,5

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