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max z = 3x1 + 4x2 + 5x3 2x1 + 5x2 + 3x3 S 500 2x1 + 3x2 + 2x3 5 400 *1 + 3x2 + 3x3 S 300 X1 X2 X3 20 3 The following Simplex tableau corresponds to a basic feasible solution to the LP problem above. Row Z X1 x2 x3 S1 S2 0 1 -11 5 0 1 0 1 -6 3 0 2 0 5 -3 1 3 0 1 3 -1 0 XOO OOO -7 -5 4 2 rhs 400 0 100 100 BV Z X1 S2 X2 S2 = According to this Simplex Tableau, this basic feasible solution is xi- 81 - and s3 - wand the objective function value is v. To move to a better adjacent basic feasible solution, variable is the entering variable (i.e., entering the basis), and variable is the leaving variable (i.e. leaving from the basis). The Simplex tableau for the better adjacent basic feasible solution 13: Row Z X1 X2 X3 31 52 53 rhs BV 0 1 Z 1 0 X1 2 0 3 3 0 X2 v V v y v V > >> >