Consider the following linear program $($LP$)$: Max Z $=-3$x $+4$y Subject to $-$x $+$ y $=12$x $-$ y $=2$ x $+$ y $=4$ x$,$ y $=0$ Which of the following are true? Note: For these problems the LP is similar except the constraints may change from "greater$-$than$-$or$-$equal to$"$ to "less$-$than$-$or$-$equal to$"$ or vice versa. For each problem, check your constraints and the feasible region carefully.