Solve the LP problem. If no optimal solution exists becausethere is no Solution Set, enter EMPTY. If no optimal solutionexists because the region is unbounded, enter UNBOUNDED.Note that an unbounded region can still have an optimalsolution while a bounded region is guaranteed to have optimalsolutions. HINT [See Example 1.]
Maximize and minimize p = x + 2y subjectto
x | + | y | ≥ | 4 |
x | + | y | ≤ | 10 |
x | − | y | ≤ | 4 |
x | − | y | ≥ | −4. |
Minimum
P=
(x, y)=
Maximum
P=
(x, y)=