Consider the following LP table which minimizes z

Please write the conditions for unknowns a$1,$a$2,$a$,$ b and c which makes the following

sentences true;

z X$1$ X$2$ X$3$ X$4$ X$5$ RHS

$1$ c $200012$

$01$ a$11006$

$0-$a$2-40101$

$0-$a$3-3001$ b

a$)$ LP is not a basic feasible solution$(5$ pts$)$

b$)$ LP is an optimal solution and there are alternative optimal solutions$(10$ pts$)$

c$)$ LP is unbounded. $($