EOQ Calculator - Economic Order Quantity & Costs
Find the replenishment quantity that balances ordering and holding cost.
Enter annual unit demand, the administrative cost of each order, and annual carrying cost per unit.
EOQ Calculator - Economic Order Quantity & Costs
Find the replenishment quantity that balances ordering and holding cost.
About EOQ Calculator - Economic Order Quantity & Costs
EOQ Calculator - Economic Order Quantity & Costs helps analysts, owners, investors, and students identify a repeatable inventory order size that minimizes the combined annual ordering and holding costs. It turns a familiar finance formula into a repeatable calculation while keeping every assumption visible. The core relationship is: EOQ = √(2 × annual demand × ordering cost ÷ annual holding cost per unit). Enter figures from the same reporting period and use consistent units so that the output remains comparable.
EOQ balances the cost of placing orders against the cost of carrying stock. Order too often and clerical and freight costs pile up; order too much and warehouse and capital costs rise. Annual ordering cost is (demand / EOQ) × cost per order; annual holding cost is (EOQ / 2) × holding cost per unit. The square-root formula is the point where those two are equal, which is a useful sanity check. The model assumes constant demand, instant replenishment, no shortages, and a holding cost that is linear in average inventory. Seasonal demand, MOQs, and perishable goods all break those assumptions.
EOQ Calculator - Economic Order Quantity & Costs is most useful during planning and review. Start with source figures from a statement, quote, policy, or operating forecast rather than rough numbers remembered later. Run a base case first, then change one assumption at a time. That approach separates the effect of each decision and makes scenarios easier to explain to colleagues, lenders, or advisers. Save the inputs with the date and source if the result will support a formal recommendation.
Interpret economic order quantity as an estimate, not a promise. A mathematically precise result can still be misleading when inputs omit fees, timing differences, taxes, unusual transactions, liquidity constraints, or changing market conditions. Accounting conventions may also define the same label differently. Confirm whether values are annual, monthly, nominal, effective, before tax, or after tax before comparing alternatives. Negative results are not necessarily errors; they can reveal a shortfall, excess cost, or scenario that deserves attention.
The result panel includes supporting measures because a single headline number rarely tells the complete story. Review subtotals, percentages, ratios, or timing measures together. A large absolute result may be modest relative to the amount invested, while a strong percentage may apply to a small base. When optional inputs are left blank, EOQ Calculator - Economic Order Quantity & Costs either omits their economic effect or uses the neutral value described by the formula.
Use examples as checks on direction rather than as benchmarks for every organization. If a cost rises, verify that profit or value responds in the expected direction. If compounding, leverage, or probability is involved, test a simple case that can be checked by hand. These reasonableness checks catch misplaced decimals and percentages quickly.
EOQ Calculator - Economic Order Quantity & Costs provides educational planning support and does not replace audited accounts, tax advice, legal guidance, underwriting, inventory policy, or investment analysis. Rules and program limits can change. Before committing money or filing documents, confirm current terms with the relevant institution and have a qualified professional review material decisions.
Economic Order Quantity Worked Examples
Use these worked scenarios to check inputs and understand how the result responds.
| Inputs | Result | Interpretation |
|---|---|---|
| Demand 2,400 units; order cost $75; holding cost $25 | EOQ 120 units; 20 orders yearly | Ordering and holding costs each equal $1,500 at the optimum. |
| Demand 10,000 units; order cost $40; holding cost $8 | EOQ 316.23 units | Higher demand increases the preferred batch size. |
| Demand 600 units; order cost $120; holding cost $30 | EOQ 69.28 units | Round operational orders carefully and recalculate capacity constraints. |
How to Use the EOQ Calculator - Economic Order Quantity & Costs
- Enter annual demand in units, cost per order, and annual holding cost per unit.
- Select Calculate EOQ to review order size, orders per year, cycle days, and the two cost components.
- Confirm that ordering cost and holding cost are nearly equal; large gaps usually mean a mistyped input.
- Round the EOQ to a practical pack size, then recalculate capacity and storage constraints.
Economic Order Quantity FAQ
What does the EOQ calculator measure?
EOQ is the order quantity that minimizes the sum of annual ordering cost and annual holding cost under steady demand. The closed form is the square root of 2 × demand × ordering cost ÷ holding cost per unit.
Why are ordering and holding costs equal at the optimum?
In the basic Harris–Wilson model those two cost curves meet at EOQ. For 2,400 units of demand, $75 per order, and $25 holding cost, EOQ is 120 units, 20 orders per year, and each cost is $1,500.
Does EOQ include purchase price or quantity discounts?
No. Unit purchase price cancels out of the basic EOQ when it does not change with order size. If suppliers offer breaks, compare total cost at each break quantity instead of using a single EOQ.
What about lead time, stockouts, and safety stock?
Lead time affects reorder point, not EOQ, when demand is certain. Stockout costs and safety stock require a different model. Use EOQ as the cycle-stock batch size, then set reorder point separately.
Should I order the exact fractional EOQ?
Rarely. Round to a vendor pack, pallet, or production batch, then check storage and cash. A 316.23-unit EOQ might become 300 or 320 in operations.