For an LP in SEF, or more generally for any LP which is a maximization problem, we say that the LP is unbounded if, for every real number M, there exists a feasible solution of the LP with objective value strictly greater than M. The feasible region F of an LP is bounded if there exists a real number M such that VxEF, ||||2 M where ||||2 denotes the 2-norm of x, defined by ||x||2 = xTx. If the feasible region is not bounded, then we say that the feasible region is unbounded. For each of the following two statements, prove or disprove the statement: (a) If an LP in SEF is unbounded, then the feasible region of the LP is unbounded. (b) If an LP is in SEF and the feasible region of the LP is unbounded, then the LP is unbounded.