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 and minimize p = x + 2y subject to

x + y 4

x + y 6

x y 4

x y 4.

Minimum:

p =

(x, y) =

Maximum:

p =

(x, y) =