Optimization Calculator
Calculate optimal values for resource allocation or linear programming problems.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator solves linear programming optimization problems using the Simplex method. It finds the optimal value (maximum or minimum) of a linear objective function subject to linear constraints and non-negativity.
- Set Objective: Choose Maximize or Minimize from the dropdown.
- Define Variables: Enter the number of decision variables (2 to 10).
- Enter Objective Coefficients: Provide the coefficients of the objective function as comma-separated numbers (e.g.,
3,5for3x + 5y). - Enter Constraints: Write each constraint on a new line in the format:
coefficient1,coefficient2,... <= limit. Example:2,4 <= 16means2x + 4y ≤ 16. - Calculate: Click Calculate Optimal to run the Simplex method.
Output: The optimal value and the solution vector (values of each variable) are displayed. If no feasible solution exists or the problem is unbounded, an error message appears.
Note: All inputs must be numeric. Use commas to separate coefficients. Constraints must use <= for less-than-or-equal inequalities. Variables are assumed non-negative.
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Frequently Asked Questions
It uses the simplex method to find the optimal solution for linear programming problems with up to 10 variables and multiple constraints.
Each constraint should be on a new line with coefficients separated by commas, followed by <= and the limit. Example: 2,4 <= 16
Yes, select 'Minimize' from the objective dropdown. The calculator will internally convert it to a maximization problem.
