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EOQ Calculator

Find the order quantity that minimizes the total cost of ordering and holding inventory.

Inputs

Enter your numbers

units
$

Fixed cost per purchase order placed.

$
Result

Your calculation

Economic Order Quantity

775 units

Orders per Year

15.5

Days Between Orders

23.6 days

Annual Order Cost

$774.60

Annual Holding Cost

$774.60

Formula Used

√((2 × Annual Demand × Order Cost) ÷ Holding Cost)

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Formula

√((2 × Annual Demand × Order Cost) ÷ Holding Cost)

EOQ minimizes the sum of ordering cost and holding cost. It assumes constant demand, constant lead time, and no quantity discounts.

Worked Example

Annual demand is 12,000 units. Each order costs $50 to process. Holding cost is $2 per unit per year. EOQ = √((2 × 12,000 × 50) ÷ 2) = √600,000 ≈ 775 units. Place orders of 775 units to minimize total inventory cost.

Frequently Asked Questions

What are the assumptions of EOQ?+

Constant demand, constant lead time, no discounts, and instantaneous replenishment. Real-world deviations require adjustments.

How is holding cost estimated?+

Typically 15–30 percent of inventory value annually, covering capital, storage, insurance, and obsolescence.

Should I use EOQ for every SKU?+

No. EOQ works best for A items with stable demand. Use modified policies for B/C items.

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