a$)$ Is the problem feasible? Explain your answer.

b$)$ Write the given problem in canonical form $\{max{c}^{TT}x|Axb,x0\}$ and present the dual $($also

in canonical form$).$ Is the dual problem feasible? Explain your answer.

c$)$ Use your answers in the previous questions to determine of the given problem: $($i$)$ has an optimal

solution, $($ii$)$ is infeasible, $($iii$)$ is unbounded.