Consider the following linear program maximize c x ON st -3 8 a) Provide a vector c such that this linear program is feasible but has no optimal solution. b) Provide three different values of c so that each will lead to a distinct optimal solution. c) Which among the following additional constraints would guarantee that the linear program is feasible and has an optimal solution for all vectors c? (1) x1 36 (2) 12 27 (3) 3x1 + 2x2 _ 20 (4) 3x1 + 272 2 20 (5) x1 + 4x2 20 2