Consider the following problem. Maximize Z=-x1 - x2, subject to 1.5x1 +1.5x2 ≤ 8.5 1.5x2 ≥ 3.5 -1.5x1 + 1.5x2 ≤ 2.5 and X1 ≥ 0, x2 ≥ 0. (a) Solve this problem graphically: (b) Use the dual simplex method manually to solve this problem_ (c) Trace graphically the path taken by the dual simplex method.