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EOQ Calculator – Inventory

Quick answer

EOQ = √(2DS ÷ H): annual demand 10,000 units, 40 per order and 8 to hold gives the optimal 316-unit order.

  • Formula and worked example included.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How Does the Economic Order Quantity Calculator Work?

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

Economic order quantity finds the order size that minimizes the sum of ordering and holding costs. Order too often and setup costs pile up; too rarely and storage eats you. The computation rests on EOQ = √(2 × demand × order cost ÷ holding cost). With annual demand of 10,000 units, 40 per order and 8 per unit to hold: EOQ = √(2 × 10,000 × 40 ÷ 8) = √100,000 ≈ 316 units per order, ≈32 orders a year. Each input you type is substituted the instant you release the key, and the result is expressed in exactly the units or currency you chose.

  1. 1

    Step 1

    Start with the primary figures the Economic Order Quantity Calculator asks for.

  2. 2

    Step 2

    Your values are substituted into EOQ = √(2 × demand × order cost ÷ holding cost).

  3. 3

    Step 3

    Read off the computed result.

  4. 4

    Step 4

    Vary one input at a time to see its effect.

Use Cases

Purchase-order planning

Setting standard order sizes

Warehouse cost control

Balancing setup against storage

Supplier negotiation

Testing what a discount does to the optimum

Cash-flow smoothing

Reducing capital tied in stock

Common Mistakes

  • Using unit price as holding cost

  • Annualizing wrong

  • Ignoring quantity breaks

FAQs

What does EOQ ignore?

Quantity discounts, demand swings and stockouts — it is a static optimum, so revisit when costs or demand shift materially.

How sensitive is EOQ to its inputs?

Only as their square root: doubling holding cost shrinks the order by ≈29%, not 50% — the formula forgives estimation error.

What formula does the Economic Order Quantity Calculator use?

It computes EOQ = √(2 × demand × order cost ÷ holding cost) — with D annual demand, S per-order cost, H per-unit annual holding cost.

Do I need an account or app?

No account and no app — the Economic Order Quantity Calculator is a web tool that keeps working even on a slow connection.