0 0 3 0 18 0 0 0 0 0 3. After several pivots, we obtain the following final tableau, which is optimal: (a midterm problem from MIT). X X2 X X X X RHS Z 2 0 1 1/4 -1/2 -1 1 0 1/4 2 1 3 0 0 0 7 (a) Assuming that the current basis is feasible, what is the basic feasible solution? Give the values of all of the decision variables as well as the objective value. (b) Suppose that the RHS for constraint (2) is changed to 3+A? What are upper and lower bounds on A such that the marginal benefit remains valid? [i.e. the set of basic variable remains the same! (C) Suppose that w3 is replaced by w3 + A. What are upper and lower bounds on A so that the final basis remains optimal? (w3 is the direct benefit of X3) (d) What are the right hand side (RHS) of three constraints? (e) Determine the original coefficients of constraints for X3]; 0 0 3 0 18 0 0 0 0 0 3. After several pivots, we obtain the following final tableau, which is optimal: (a midterm problem from MIT). X X2 X X X X RHS Z 2 0 1 1/4 -1/2 -1 1 0 1/4 2 1 3 0 0 0 7 (a) Assuming that the current basis is feasible, what is the basic feasible solution? Give the values of all of the decision variables as well as the objective value. (b) Suppose that the RHS for constraint (2) is changed to 3+A? What are upper and lower bounds on A such that the marginal benefit remains valid? [i.e. the set of basic variable remains the same! (C) Suppose that w3 is replaced by w3 + A. What are upper and lower bounds on A so that the final basis remains optimal? (w3 is the direct benefit of X3) (d) What are the right hand side (RHS) of three constraints? (e) Determine the original coefficients of constraints for X3]