How to calculate the economic order quantity and the reorder point
Inventory is money sitting on a shelf. Too little and you lose sales; too much and cash is tied up, storage costs rise and products expire or go out of style. Two classic numbers help you find the balance: the economic order quantity (how much to buy) and the reorder point (when to buy).
Economic order quantity (EOQ)
Each order has a fixed cost (freight, receiving, admin time), and each unit in stock has a holding cost (the return the money gives up, storage, insurance, shrinkage). The Wilson formula finds the batch that minimizes the sum of the two:
EOQ = √(2 × annual demand × cost per order ÷ annual holding cost per unit)
Safety stock and reorder point
Sales vary from day to day and suppliers take time to deliver. The safety stock protects against that: it grows with sales variability, with the lead time and with the service level you want. The reorder point is the expected sales during the lead time plus the safety stock.
| Service level | Factor z |
|---|---|
| 90% | 1.28 |
| 95% | 1.65 |
| 98% | 2.05 |
| 99% | 2.33 |
Limits of the model
The model assumes steady demand, no quantity discounts and no space limit. For seasonal or perishable products, recalculate more often and use shorter horizons. Quantity discounts can justify larger batches: compare the discount with the extra holding cost.