Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions.





What will be an ideal response?


Since nonbasic variable s3 has a relative profit of zero, any increase in s3 will produce no change in the objective function value. Thus, since s3 can be made a basic variable, the resulting basic feasible solution will also have an optimum value of 14. An alternative optimal solution is indicated whenever there exists a nonbasic variable whose relative profit (cj ? z) row coefficient is zero in the optimal solution.

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