Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)
Maximize p = 3x + y subject to
4x - 5y ≤ 0
5x - 4y ≥ 0
x + y ≤ 9
x ≥ 0, y ≥ 0.
p =
(x, y) =