Optimization Calculator

📈

Linear Programming Calculator

Two-variable LP via corner-point method — max or min objective

Objective Function

x +y

z = 3x + 5y | Two variables (x,y ≥ 0), up to 3 linear constraints

Constraints (x ≥ 0, y ≥ 0 always apply)

x +y

Optimal Solution

2.0000

6.0000

36.0000

All Corner Points

1.x=2.000, y=6.000z=36.000★ MAX

2.x=0.000, y=6.000z=30.000

3.x=4.000, y=3.000z=27.000

4.x=4.000, y=0.000z=12.000

5.x=0.000, y=0.000z=0.000

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<iframe src="https://calculators.is/embed/optimization-calculator" title="Optimization Calculator" width="100%" height="620" style="max-width:720px;border:0;border-radius:12px;display:block" loading="lazy" referrerpolicy="strict-origin-when-cross-origin"></iframe>

What is Optimization Calculator?

Optimization Calculator finds the best possible solution (maximum or minimum) for a given problem under specific constraints, commonly used in engineering, business, and logistics.

Optimization Calculator Formula / Method

Linear: Simplex method.

Nonlinear: Gradient descent / Newton / Lagrange multipliers (∇f = 0 at optimum, subject to constraints).

Optimization Calculator Step-by-Step

Enter all required inputs shown in the calculator.
Check units/scales or grading format where applicable.
Apply the calculator method for this tool.
Review the computed output.
Use the result for planning, verification, or comparison.

Optimization Calculator Worked Example

Maximize Z = 3x + 4y

Subject to: x + y ≤ 10, 2x + y ≤ 12, x,y ≥ 0

Optimal solution: x = 2, y = 8, Z = 38

Where Optimization Calculator Is Applied

Used in operations research, supply chain management, finance, engineering design, logistics, and business decision-making.

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Calculator By Adil Balti, Content Proofread and Verify by Muhammad Kumail & Gulzar Abbas.