You are given Table $3$ shown below for a maximization problem. Give conditions on

the unknowns a$1,$ a$2,$ a$3,$ b$,$ and c that make the following statements true:

a$)$ The current solution is optimal. $(10pts)$

b$)$ The current solution is optimal, and there are alternative optimal solutions. $(10$ pts$)$

c$)$ The LP is unbounded $($in this part, assume that $b0$