Solve the linear programming problem by the simplex method. Maximize P = x + 4y - 2z subject to 3x + y z ≤ 72 2x + y z ≤ 36 -x + y + z ≤ 72 x ≥ 0, y ≥ 0, z ≥ 0 The maximum is P = 1 at (x, y, z) = 1

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