(a) (5 points) Determine if the tableau is the final tableau for a maximization LP? if not, apply the simplex method to find the final tableau. Then, if the LP is unbounded, clearly indicate why. If it has a unique solution, clearly indicate why, then write it down. If it has multiple optimal solutions, clearly indicate why, then write down three of them. Row 2 21 82 RHS R0 |1| -33/4 -65/4 15/4 23 22 0 $1 0 1 45 R1 03/2 0 5/2 1 -1/20 2 R20 1/4 1 -3/4 0 1/40 3 (b) (3 points) Without writing down the dual problem of the LP in part (a), can you write down the optimal solution of the dual problem of this LP? If yes, write down the optimal solution for the dual and justify your answer. If no, explain why