Question: 1) The Simplex tableau is shown below for a maximization problem X -3 3 X 2 2 1 0 0 0 X 2 X 0

1) The Simplex tableau is shown below for a maximization problem X -3 3 X 2 2 1 0 0 0 X 2 X 0 0 1 0 1 4 -2 3 X -1 0 -5 X 0 0 0 1 X 0 1 0 0 RES 35 9 4 5 1 3 6 4 Is the solution in the Simplex tableau above a feasible solution? Yes No Is it optimal? Yes (l) No If optimal Is it unique, or (i) one of multiple optima? If multiple optima exist.. variable could replace variable in the basis without increasing the objective value If not optimal Does it indicate an unbounded solution? c) Yes NO If it is unbounded entering variable would increase the objective value z to If not unbounded entering variable__into the basis would remove variable from the basis 2) Consider the following Simplex tableau for a maximization problem 0 OON 0 0 1 0 2/5 3/5 5 9/5 6/5 1 -1/5 1/5 15 3 3 0 Is the solution in the Simplex tableau above optimal? Yes No 1 i) unique, orm) one of multiple optima? of multiple optima exist... variable could replace variable in the basis without increasing the objective value Retrieve an alternative optimal solution X: RHS 0 0 5 0 1 15 0 2/5 9/5 1 -1/5 3 1 3/5 6/5 0 1/5 3 2 1 0 0 1) The Simplex tableau is shown below for a maximization problem. X6 X2 0 X4 -1 OX Xs 2 O Z 1 0 0 0 X -3 3 -1 6 X3 1 4 -2 3 0 1 0 O X7 2 3 -2 -4 0 0 1 RHS 36 9 4 5 1 0 0 -5 -2 1 3 Is the solution in the Simplex tableau above a feasible solution? (0) Yes (i) No If so... Is it optimal? (i) Yes (ii) No If optimal... Is it (i) unique, or (ii) one of multiple optima? If multiple optima exist... variable could replace variable in the basis without increasing the objective value. If not optima... Does it indicate an unbounded solution? (i) Yes (ii) No If it is unbounded. entering variable to would increase the objective value z toto. If not unbounded... entering variable ___ into the basis would remove variable from the basis. 2) Consider the following Simplex tableau for a maximization problem. Z RHS 1 5 15 0 2/5 9/5 -1/5 3/5 6/5 1/5 3 S2 1 X 0 0 1 Si 0 1 0 3 0 Is the solution in the Simplex tableau above optimal? (i) Yes (ii) No If so... Is it (1) unique, or (ii) one of multiple optima? If multiple optima exist... variable could replace variable ___ in the basis without increasing the objective value. Retrieve an alternative optimal solution NOO X1 0 0 1 0 2/5 3/5 X3 5 9/5 6/5 S1 0 1 0 S2 1 -1/5 1/5 RHS 15 3 3 1) The Simplex tableau is shown below for a maximization problem X -3 3 X 2 2 1 0 0 0 X 2 X 0 0 1 0 1 4 -2 3 X -1 0 -5 X 0 0 0 1 X 0 1 0 0 RES 35 9 4 5 1 3 6 4 Is the solution in the Simplex tableau above a feasible solution? Yes No Is it optimal? Yes (l) No If optimal Is it unique, or (i) one of multiple optima? If multiple optima exist.. variable could replace variable in the basis without increasing the objective value If not optimal Does it indicate an unbounded solution? c) Yes NO If it is unbounded entering variable would increase the objective value z to If not unbounded entering variable__into the basis would remove variable from the basis 2) Consider the following Simplex tableau for a maximization problem 0 OON 0 0 1 0 2/5 3/5 5 9/5 6/5 1 -1/5 1/5 15 3 3 0 Is the solution in the Simplex tableau above optimal? Yes No 1 i) unique, orm) one of multiple optima? of multiple optima exist... variable could replace variable in the basis without increasing the objective value Retrieve an alternative optimal solution X: RHS 0 0 5 0 1 15 0 2/5 9/5 1 -1/5 3 1 3/5 6/5 0 1/5 3 2 1 0 0 1) The Simplex tableau is shown below for a maximization problem. X6 X2 0 X4 -1 OX Xs 2 O Z 1 0 0 0 X -3 3 -1 6 X3 1 4 -2 3 0 1 0 O X7 2 3 -2 -4 0 0 1 RHS 36 9 4 5 1 0 0 -5 -2 1 3 Is the solution in the Simplex tableau above a feasible solution? (0) Yes (i) No If so... Is it optimal? (i) Yes (ii) No If optimal... Is it (i) unique, or (ii) one of multiple optima? If multiple optima exist... variable could replace variable in the basis without increasing the objective value. If not optima... Does it indicate an unbounded solution? (i) Yes (ii) No If it is unbounded. entering variable to would increase the objective value z toto. If not unbounded... entering variable ___ into the basis would remove variable from the basis. 2) Consider the following Simplex tableau for a maximization problem. Z RHS 1 5 15 0 2/5 9/5 -1/5 3/5 6/5 1/5 3 S2 1 X 0 0 1 Si 0 1 0 3 0 Is the solution in the Simplex tableau above optimal? (i) Yes (ii) No If so... Is it (1) unique, or (ii) one of multiple optima? If multiple optima exist... variable could replace variable ___ in the basis without increasing the objective value. Retrieve an alternative optimal solution NOO X1 0 0 1 0 2/5 3/5 X3 5 9/5 6/5 S1 0 1 0 S2 1 -1/5 1/5 RHS 15 3 3

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