The economic order quantity (EOQ) model determines how many units to order each time to minimize the combined cost of placing orders and holding inventory. Developed by F.W. Harris in 1913, EOQ remains a foundational inventory management tool for retailers, distributors, and manufacturers with steady, predictable demand.
How to use this calculator
- Enter annual demand in units for the SKU or product line.
- Input the fixed cost per purchase order (processing, shipping, receiving).
- Enter the annual holding cost per unit (storage, insurance, obsolescence, capital cost).
- Review the EOQ, orders per year, and the balanced ordering vs. holding cost split.
- Round the EOQ to practical order quantities and compare to supplier minimums.
Formula
EOQ = √(2 × Annual demand × Order cost ÷ Holding cost per unit). At EOQ, annual ordering cost equals annual holding cost. Orders per year = Annual demand ÷ EOQ. Total ordering cost = Orders per year × Order cost. Total holding cost = (EOQ ÷ 2) × Holding cost per unit.
Example
With 12,000 units annual demand, $75 order cost, and $4 holding cost per unit: EOQ = √(2 × 12,000 × 75 ÷ 4) ≈ 671 units, about 18 orders per year, with roughly equal ordering and holding costs of ~$1,340 each.
Frequently asked questions
How do I calculate holding cost per unit?
Holding cost = Unit cost × Carrying cost rate (typically 20–30% of unit cost annually). Include warehousing, insurance, shrinkage, and the opportunity cost of capital tied up in inventory.
What assumptions does EOQ require?
Constant, known demand; fixed order cost per order; fixed holding cost per unit; instant replenishment; no quantity discounts. Violating these assumptions reduces EOQ accuracy.
Should I always order exactly the EOQ?
Round to case packs, pallet quantities, or supplier minimums. Total cost is relatively flat near EOQ — ordering 600 vs. 671 units has minimal cost impact.
How does EOQ relate to safety stock?
EOQ sets order size; safety stock buffers against demand and lead time variability. Use both calculators together for a complete inventory policy.