In Exercises 1-4, properties of solutions to a given LP problem are specified. Describe in as much detail as possible the solutions to the dual of the given problem. 1. A prime optimal solution is (0.27, 1.83, 0.95, 0.5, 0, 0)' with objective value 117.8. 2. An optimal solution to the dual problem is (0, 3, 15, 0, 5) with dual objective function value 125. 3. There are no feasible solutions to the prime problem. 4. Dual problem is feasible and unbounded.