In linear programming, the objective function is the function that it is desired to maximize or minimize. The human interaction equivalent is what matters most. Agreement on that, and on the steps ...

Goal programming Numerical example. In order to reveal the ‘mechanics’ of achievement functions, we use a simplified diet model with two foods: (1) bread and (2) meat, with associated decision ...

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 ...

Q: 8 The objective function of a linear programming problem is given by Z = ax + by; where a and b are constants. If the minimum of Z occurs at two points, (50, 30) and (20, 40), find the ...