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EOQ Calculator (Economic Order Quantity

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Logistics

Economic Order Quantity (EOQ) is an inventory management formula that calculates the optimal order size to minimize total combined ordering and holding costs.

Reviewed by Ahmad Faraz · BSCS
Last updated:
Editorial Guidelines

⚙ Input Values

units/yr
$/order
$/unit/yr

📊 Results

Economic Order Quantity (EOQ)
632
units/order
Number of Orders Per Year
15.81
orders/yr
Total Annual Inventory Cost (Ordering + Holding)
1581.14
$/year
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📐 Formula

EOQ = √[(2 × Demand D × Order Cost S) ÷ Holding Cost H]
Orders per Year = Demand D ÷ EOQ
Total Annual Inventory Cost = (D / EOQ × S) + (EOQ / 2 × H)

💡 Practical Example

✅

10,000 units annual demand, $50 setup cost per order, $2.50 annual holding cost per unit. - EOQ = √[ ÷ $2.50] = √[400,000] = 632 units per order. - Orders per Year: 10,000 ÷ 632 = 15.82 orders/year. - Total Annual Cost: $1,581.14.

📖 About EOQ Calculator (Economic Order Quantity

Economic Order Quantity (EOQ) is an inventory management formula that calculates the optimal order size to minimize total combined ordering and holding costs.

To use the EOQ Calculator (Economic Order Quantity), enter your Annual Demand (D), Fixed Order Cost (S), Annual Holding / Carrying Cost (H). The calculator instantly computes Economic Order Quantity (EOQ), Number of Orders Per Year and more. Results update in real time as you change any input — no submit button needed.

How to Use This Calculator

Enter your Annual Demand (D) (e.g. 10000 in units/yr), Fixed Order Cost (S) (e.g. 50 in /order), and Annual Holding / Carrying Cost (H) (e.g. 2.50 in /unit/yr). Results update instantly as you type — no submit button or page reload required. Adjust any value to compare scenarios side by side.

The Formula

EOQ = √[(2 × Demand D × Order Cost S) ÷ Holding Cost H]

Orders per Year = Demand D ÷ EOQ

Total Annual Inventory Cost = (D / EOQ × S) + (EOQ / 2 × H)

Worked Example

10,000 units annual demand, 50 setup cost per order, 2.50 annual holding cost per unit.

  • EOQ = √[ ÷ 2.50] = √[400,000] = 632 units per order.
  • Orders per Year: 10,000 ÷ 632 = 15.82 orders/year.
  • Total Annual Cost: 1,581.

14.

Understanding Your Result

Evaluate your result against the specific financial decision driving this calculation. Small input differences can create large output swings — run two or three scenarios (conservative, base, optimistic) to understand the range of outcomes. For decisions involving more than a month's income, validate your result against a second source or consult a certified financial planner (CFP) or CPA depending on the tax implications.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What happens if you order more than the EOQ?

Ordering more than EOQ reduces annual ordering costs but significantly increases holding and storage costs, resulting in higher total inventory expenses.

What costs are included in holding cost (H)?

Holding costs include warehouse space rent, insurance, security, spoilage, depreciation, and tied-up capital opportunity cost.

How reliable are the business metrics?

The calculator uses standard business formulas widely accepted in finance and management. Results are estimates; validate against your actual business data.

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