For each of the following linear programming models give your
For each of the following linear programming models, give your recommendation on which is the more efficient way (probably) 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 = 10x1 - 4x2 + 7x3,
Subject to

and
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
(b) Maximize Z = 2x1 + 5x2 + 3x3 + 4x4 + x5,
Subject to

and
xj ≥ 0, for j = 1, 2, 3, 4, 5.
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