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 ...

European Journal of Clinical Nutrition - Diet models with linear goal programming: ... If c i represents the cost of food i, then the objective function minimizes total diet cost and so on. 2 ...

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 ...

Solving linear programming problems in a spreadsheet yields equations for maximizing business profits. As applied to business, linear programming typically involves an objective formula, such as ...