Simplex Method Consider the following linear programming problem: max z = 6x1 + 3x2 - 9x2...

Simplex Method Consider the following linear programming problem:

max z = 6x1 + 3x2 - 9x2 - 9x3 + 15x4

s.t. 2x1 + 4x2 +6x3 + 8x4 <= 80

6x1 - 3x2 +3x3 + 6x4 <= 24

12x1 - 6x2 + 3x3 - 3x4 <= 30

x1, x2, x3, x4 >= 0

Rewrite the problem in standard form, that is, add the necessary slack variables in order to consider only equality constraints (and non-negativity).

What is the current value of the objective function?

Is this the last iteration of the simplex method for this problem?

Perform the next iteration of the simplex tableau method. That is, determine the pivot row, pivot column, and the pivot element,and do the necessary row operations (list them to the right of the tableau, beside the row you are changing).

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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