In a linear programming problem, the binding constraints for the optimal solution are:

$5$X $+3$Y $<=30$

$2$X $+5$Y $<=20$

Thus, as long as the slope of the objective function stays between $-2/5$ and $-5/3$ the current optimal solution point will remain optimal.

Which of these objective functions will lead to the same optimal solution $($Select ALL that apply$)?$

Group of answer choices