In Problem, 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.
Maximize subject to
P = 2x1 + 2x2 + x3
x1 + x2 + 3x3 ≤ 10
2x1 + 4x2 + 5x3 ≤ 24
x1,x2,x3 ≥ 0