Use the Revised Simplex Method to find the optimal value and one optimal solution to the problem, Max ( x_1 - x_3 ) x_1 - 2x_2 - x_3 + x_4 <= 1 -x_1 + 4x_2 - x_3 <= 2 -x_1 - 3x_2 + x_3 <= 3 x_1, x_2, x_3, x_4 >= 0 b) Prove that the optimal value in a) is correct. c) Why is the solution to the Dual Unique? d) Why is it not a surprise that the dual solution is Degenerate? e) Show that although the dual optimal solution is degenerate, there is only one primal optimal solution. f) Also find 6 basic Feasible Solutions. My work: FOr part a, i got optimal value as 4 and optimal solution x_1=4, x_2 = 3/2 , x_3 = 0 , x_4 = 0 But i dont understnad how to do other ones.. any hint or help on any one of them please..thanks a lot!