A simplex matrix for a standard maximization problem is given. Indicate whether or not the solution shown is complete (optimal). If the solution is not complete, find the next pivot or indicate that no solution exists. A) next pivot: 1 in R₄C₃ B) next pivot: -2 in R₄C₅ C) next pivot: 7 in R₂C₅ D) optimal solution E) no solution

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Quizplus · Accepted Answer

The solution is not complete because there is a positive coefficient in the objective row (RS) that indicates that the objective can still be improved. The next pivot should be chosen to maximize this coefficient. In this case, the largest coefficient in the RS row is 7, which corresponds to the variable in column 3. Therefore, the next pivot should be 7 in R₂C₅.

A Simplex Matrix for a Standard Maximization Problem Is Given