7. [-/4 Points] DETAILS MY NOTES Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = 2x + 4y subject to 0.5x + 0.5y2 1 ys3 x 20, y 20. p ( x, y ) = 8. [-/4 Points] DETAILS MY NOTES 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 = x + y subject to x + 2y 2 50 2x + 2y s 50 2x+ y 2 50 x20, y 20. p = ( x, y ) =