3. Consider a dictionary below (c, b, a, d, e are parameters) z = Co + Cixi + C4X4 X2 = b +2121 + 0414 x3 = b2 + dixi +d4X4 25 = b3 + e1x1 + 14.14 (a) Assuming the original LP was in standard form, how many variables and how many constraints did it have? (b) Pick values for c, b, a, d, e such that the dictionary corresponds to an optimal solution. (c) Pick values for c, b, a, d, e such that the dictionary corresponds to an unbounded problem. (d) Pick values for c, b, a, d, e such that the dictionary would result in a degenerate pivot on the next iteration. (e) Pick values for c, b, a, d, e such that the dictionary is feasible but neither optimal nor unbounded. (f) for your dictionary in part 3e pick entering and leaving variables (according to Bland's rule). 3. Consider a dictionary below (c, b, a, d, e are parameters) z = Co + Cixi + C4X4 X2 = b +2121 + 0414 x3 = b2 + dixi +d4X4 25 = b3 + e1x1 + 14.14 (a) Assuming the original LP was in standard form, how many variables and how many constraints did it have? (b) Pick values for c, b, a, d, e such that the dictionary corresponds to an optimal solution. (c) Pick values for c, b, a, d, e such that the dictionary corresponds to an unbounded problem. (d) Pick values for c, b, a, d, e such that the dictionary would result in a degenerate pivot on the next iteration. (e) Pick values for c, b, a, d, e such that the dictionary is feasible but neither optimal nor unbounded. (f) for your dictionary in part 3e pick entering and leaving variables (according to Bland's rule)