How much should you order at once? Too little and ordering costs pile up; too much and storage eats you alive. The EOQ finds the exact sweet spot.
Economic Order QuantityLive
the inventory sweet spot
Controls
Presets
Order too often and ordering costs pile up; order too much and holding costs balloon. The Economic Order Quantity, EOQ = √(2DS/H), is the order size that minimizes their sum. At the optimum the ordering and holding costs are exactly equal — the crossing point of the two curves. The foundation of inventory management.
Reading this result: At the EOQ the two curves cross: yearly ordering cost equals yearly holding cost, giving about 14.1 orders a year at the minimum total cost.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
★ Sign in to save this setupSave your tuned setup, or drop this simulation into your own site, docs, or course page.
How it works
The Economic Order Quantity, EOQ = √(2DS/H), minimizes the total of ordering and holding costs from annual demand D, order cost S, and holding cost H. At the optimum those two costs are exactly equal — the crossing point of the two curves. It is the foundational model of inventory management and supply-chain planning.
✦
Ask the AI about this model
The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.
Yes. Economic Order Quantity runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.