In: Advanced Math
Solve the LP problem. If no optimal solution exists because
there is no Solution Set, enter EMPTY. If no optimal solution
exists because the region is unbounded, enter UNBOUNDED.
Note that an unbounded region can still have an optimal
solution while a bounded region is guaranteed to have optimal
solutions. HINT [See Example 1.]
Maximize and minimize p = x + 2y subject
to
x | + | y | ≥ | 4 |
x | + | y | ≤ | 10 |
x | − | y | ≤ | 4 |
x | − | y | ≥ |
−4. |
Minimum
P=
(x, y)=
Maximum
P=
(x, y)=
In this problem, we have to find the region each point of which satisfies each of the given constraints. The optimal value of the cost function occurs for the vertices if the region is a convex set.
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