Economic Order Quantity
Calculator

Inputs

Economic order quantity (units)
2,104.939246

Results

Economic order quantity (units)
2,104.939246
Orders per year
22.803508
Total annual ordering and holding cost
6,841.05255

Results

Economic order quantity (units)2,104.939246
Orders per year22.803508
Total annual ordering and holding cost6,841.05255

formula-map diagram

Economic order quantity (units)
2,104.939246
Orders per year
22.803508
Total annual ordering and holding cost
6,841.05255

Diagram

Formula

EOQ = √(2 × annual demand × order cost ÷ holding cost per unit)

= 2104.9392463369

Note

This is a simplified model using standard logistics formulas; real-world contracts, carrier rules, and regulations may add further terms.

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Frequently asked questions

What does the economic order quantity (EOQ) formula calculate?+

EOQ calculates the optimal order size that minimizes the total cost of ordering and holding inventory: EOQ = sqrt((2 x D x S) / H), where D is annual demand, S is the cost per order, and H is the annual holding cost per unit.

Why does ordering too frequently or too infrequently both increase costs?+

Ordering too often racks up repeated ordering costs (processing, shipping, administrative overhead) even though each order is small, while ordering too rarely means holding large amounts of inventory for longer, increasing storage, insurance, and obsolescence costs. EOQ finds the order size where these two opposing cost pressures are balanced.

What assumptions does the EOQ model rely on?+

The classic EOQ formula assumes constant, known demand, fixed ordering and holding costs, instantaneous restocking, and no quantity discounts — assumptions that rarely hold perfectly in real supply chains, which is why EOQ is treated as a useful starting benchmark rather than an exact prescription.

How does holding cost affect the EOQ result?+

Higher holding costs per unit push the optimal order quantity down, since the formula's holding cost term sits in the denominator — it becomes cheaper to order more frequently in smaller batches when storing each unit is expensive.

Does EOQ apply to businesses with highly seasonal or unpredictable demand?+

The basic EOQ model works best with relatively steady, predictable demand; for highly seasonal or volatile products, more advanced inventory models that account for demand variability and safety stock are typically more accurate than the classic EOQ formula.