Combining Excel's COUNTIF function and graphing tools produces a tally chart. Getty Solving linear programming problems in a spreadsheet yields equations for maximizing business profits.

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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 ...

The objective of the linear programming instance is taken to be: Solving the above linear programming instance gives us the optimal deviation w.r.t. , and one optimal solution for all variables.