In Problems 33–36, there is a tie for the choice of the first pivot column. Use the simplex method to solve each problem two different ways: first by choosing column 1 as the first pivot column, and then by choosing column 2 as the first pivot column. Discuss the relationship between these two solutions.

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Maximize subject to P = 2x₁ + 2x₂ + x3 x₁ + x₂ + 3x3 ≤ 10 2x₁ + 4x₂ + 5x3 = 24 х1, х2, X3 0