Problem $5$: You are given the following tableau for a maximization problem.$12345$ RHS$102$ b $001001310012001201$ c$0032104$Give conditions on the unknowns $1,2,3,,$ and $$ that make the following statements true. $($That is$,$your conditions should specify all of the cases under which the following statements are true.$)$a$.$ The current solution is optimal.b$.$ The current solution is optimal, but there are alternative optimal solutions.c$.$ The current basic solution is feasible, but the LP is unbounded.d$.$ The current basic solution is a degenerate basic feasible solution.e$.$ The current basic solution is feasible, but the objective can be improved by replacing $5$ as abasic variable with $3.$