a. You are given the following tableau for a maximization problem. Give conditions on the unknowns ai, az, a3, b and c that make the following statements true: The current solution is optimal. b. The current solution is optimal, and there are alternative optimal solutions. The current basic solution is not a basic feasible solution. d. The current basic solution is a degenerate basic feasible solution. The current basic solution is feasible, but the LP is unbounded. f. The current basic solution is feasible, but the objective function value can be improved by replacing xs as a basic variable with xi. C. e. X1 X2 2 -C 7 1 0 0 0 -1 X3 0 1 0 0 ai -4 3 X4 0 0 1 0 X5 0 0 0 1 RHS 10 4 1 b 02 a. You are given the following tableau for a maximization problem. Give conditions on the unknowns ai, az, a3, b and c that make the following statements true: The current solution is optimal. b. The current solution is optimal, and there are alternative optimal solutions. The current basic solution is not a basic feasible solution. d. The current basic solution is a degenerate basic feasible solution. The current basic solution is feasible, but the LP is unbounded. f. The current basic solution is feasible, but the objective function value can be improved by replacing xs as a basic variable with xi. C. e. X1 X2 2 -C 7 1 0 0 0 -1 X3 0 1 0 0 ai -4 3 X4 0 0 1 0 X5 0 0 0 1 RHS 10 4 1 b 02