QUESTION $4$

For an LP model with $m$ equality constraints and $n$ decision variables, if $n>m,$ which of the following statements is true? $($Please check all correct answers.$)$

In a basic solution, all variables are nonnegative

A basic solution to the LP model corresponds to an extreme point in its feasible region.

In a basic feasible solution, all variables are nonnegative.

A basic feasible solution has $(n-m)$ basic variables $($BVs$)$ and $m$ nonbasic variables $($NBVs$).$

A basic feasible solution has $m$ basic variables $($BVs$)$ and $(n-m)$ nonbasic variables $($NBVs$).$

A basic solution has $m$ basic variables $($BVs$)$ and $(n-m)$ nonbasic variables $($NBVs$).$

A basic feasible solution to the LP model corresponds to an extreme point in its feasible region.

A basic solution includes $m$ basic variable$($BVs$)$ and $h$ nonbasic variables $($NBVs$).$