Question: In the following linear programming problem, there is a tie for the choice of the first pivot column. Use the simplex method to solve the

In the following linear programming problem, there is a tie for the choice of the first pivot column. Use the simplex method to solve the 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 P = x1 + x2 Subject to 4x4 + X2 S 35 X 57 X2 5 28 X4 X2 20 Select the correct choice below and, if necessary, fil in the answer boxes to complete your choice A. Both methods give the same optimal solution of P-whenx = and x2 These solutions represent the same vertox. (Simplify your answers.) O B. Choosing column 1 first gives an optimal solution of P when X and X Choosing column 2 first gives a different optimal solution of P= These solutions represent different vorticos (Simplify your answers.) OC There is no optimal solution when i and

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