Economic order quantity

EOQ

In one sentenceThe order size that keeps the total of ordering costs and inventory holding costs at the lowest possible level over the year.

Simply put

Every order has a cost (shipping, paperwork and time), and every unit in the warehouse has a holding cost (space, insurance and tied-up money). Large orders reduce the first and increase the second.

The economic order quantity is the balance point between them. It is a useful theoretical estimate, which you adjust in practice for quantity discounts and the supplier's carton size.

Worked example

A store sells 3,600 units of an item per year, the cost of placing one order is 50 SAR, and the cost of holding one unit is 4 SAR per year.

2 × annual demand × cost per order2 × 3,600 × 50 = 360,000
÷ Holding cost per unit360,000 ÷ 4 = 90,000
Number of orders per year3,600 ÷ 300 = 12 orders
Economic order quantity = √90,000300 units

Formula: Square root of (2 × annual demand × cost per order ÷ annual holding cost per unit)

Don't confuse it with

Reorder pointThe reorder point decides the timing of the order, and the economic quantity decides its size.