Problem 2 Consider that after one iteration of the simplex method, you obtained the following simplex tableau: End of Iteration 1 Coefficients of X2 X3 X4 s1 z x1 s2 RHS 0 0 -1 1 0 Basic Variables Eq. Z 0 x1 1 s2 2 N-Oo -1 0 3 3 1 1 0 1 0 0 0 1 1 0 1 2 a. What is the current basis? b. What is the current BFS? c. If s1 and s2 are the slack variables in the augmented formulation of this problem, what is the value of the current solution? What is the value of the objective function at the current solution? d. What is the conclusion of the optimality test for the current solution? e. If you concluded in part d. that the current solution is not optimal or that multiple optimal solutions exist, complete one more iteration of the simplex method. What is the conclusion of the optimality test for the new solution? Problem 2 Consider that after one iteration of the simplex method, you obtained the following simplex tableau: End of Iteration 1 Coefficients of X2 X3 X4 s1 z x1 s2 RHS 0 0 -1 1 0 Basic Variables Eq. Z 0 x1 1 s2 2 N-Oo -1 0 3 3 1 1 0 1 0 0 0 1 1 0 1 2 a. What is the current basis? b. What is the current BFS? c. If s1 and s2 are the slack variables in the augmented formulation of this problem, what is the value of the current solution? What is the value of the objective function at the current solution? d. What is the conclusion of the optimality test for the current solution? e. If you concluded in part d. that the current solution is not optimal or that multiple optimal solutions exist, complete one more iteration of the simplex method. What is the conclusion of the optimality test for the new solution