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 minimizep=x+ 2ysubject to

x+y4

x+y8

xy4

xy4.

Minimum: P=________

(x,y):___________

Maximum: P=__________

(x,y):__________