Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. When $Z$ has an optimal value (maximum or minimum), where the variables $x$ and $y$ are subject to constraints described by linear inequalities, this optimal value must occur where in the feasible region?

related to an answer for: Fill in the blank. Any point in the feasible region that gives the ____ value (maximum or minimum) of the objective function is called ____ solution.

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