Economic order quantity (EOQ) calculator

Find the order size that costs least over a year — where the cost of placing orders meets the cost of holding the stock — and how often you'd reorder.

Free, no sign-up. Everything is worked out in your browser — nothing you type is sent anywhere.

Economic order quantity
219
Orders a year
5.5
Days between orders
67
Holding cost per unit a year
$2.50
Ordering cost a year
$273.86
Holding cost a year
$273.86
Total a year
$547.72

Exactly 219.1 units; the costs are worked out at that quantity.

How it's worked out

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

The holding cost per unit is the unit cost × the holding rate. At EOQ, a year's ordering cost (demand ÷ EOQ × cost per order) equals its holding cost (EOQ ÷ 2 × holding cost per unit), and their total is the lowest it can be.

Questions

What is the economic order quantity?
The order size that makes a year of ordering and holding a product cheapest. Order small and often and you pay the cost of placing an order many times; order big and rarely and you pay to store, insure and finance the stock. EOQ is where the two are equal.
What goes into the cost of placing an order?
Everything that comes with each order regardless of its size: the time to raise and approve it, receiving and checking it in, a per-shipment freight minimum, bank fees on the payment.
What holding cost should I use?
A share of the unit cost a year: the cost of the cash tied up, warehouse space, insurance, shrinkage and obsolescence. 20–30% a year is a common estimate for physical goods.
What if my supplier has a minimum order quantity?
Order the larger of the EOQ and the MOQ. Above EOQ the total cost curve is shallow, so an MOQ a little over it costs little — one far over it is cash tied up on the shelf.

Buy in the quantities that make sense

Raise purchase orders in Manifold from your suppliers, in their currency, receive exactly what arrives across as many deliveries as it takes, and close short what will never come.

More free tools