All the following questions are based on the graph shown at the right. Regions ADEB, BEGM and MGL are open (they extend beyond the boundaries of the graph); all other regions are closed. Assume the following coordinates: O(0,0),A(0,5),B(4,5),C(0,4),H(0,1),J(1,0),K(2,0),L(5,0),M(5,4) For each of the questions there are five possible answers; one and only one of them is correct. Indicate the correct answer by checking () its corresponding box (). A. (6%) If the objective function is MaxZ=X +Y and the feasible region is HCE, then an optimal solution is Z(2,3)=5Z=13/3atE,Z=70/17atDC(0,4) B. (6%) If the objective function is MaxZ=0.8X+Y and the feasible region is EFIG, then an optimal solution is Z=4.4 at (3,2)Z cannot be determined Z=4.0Z=3.6 at (2,2)Z=4.0 at (20/9,20/9). C. (6%) If the feasible region of a LP problem is the open region BFKL, which of the following statements is false The LP problem could be unbounded The LP problem cannot be infeasible F can be an optimal solution H is a solution (G DS(6%) If the objective function is MinZ=10X+7Y and the feasible region is the open region BFKL, then The LP problem is unbounded because Z can be increased without limit within the feasible region B(4,5) is a basic feasible solution Z(0,2)=20 is an optimal solution be (1,0) is a basic solution. None of the previous statements is true E. (6%) If the objective function is MinZ=XX and the feasible region is BEGM, then The problem is unbounded The problem has multiple optimal basic feasible solutions Z(3,3)=0 is an optimal solution Theproblem has a unique optimal solution None of the above