Fundamental Theorems. Theorem 1 Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function.When Z has an optimal value (maximum or ...

Theorem 2: Let R be the feasible region for a linear programming problem, and let Z = ax + by be the objective function.If R is bounded**, then the objective function Z has both a maximum and a ...

A linear programming problem whose feasible region is unbounded does not have an optimal solution. Q: ... Graph the feasible ...

Interior Point Methods: A class of optimisation algorithms that navigate the interior of the feasible region to seek optimal solutions, commonly used in linear and convex quadratic programming.