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Economic Order Quantity Calculator

Calculate basic economic order quantity and annual ordering/holding costs from supplied inputs. Provide Annual demand (units/year), Cost per order, Annual holding cost per unit to compute results directly in your browser. EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Allowed range: 1e-09 to 1000000000.0.

Allowed range: 1e-09 to 1000000000.0.

Allowed range: 1e-09 to 1000000000.0.

Your result
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Result will appear here

How the Economic Order Quantity Calculator Works & Core Formula

The Economic Order Quantity Calculator evaluates Annual demand (units/year), Cost per order, Annual holding cost per unit in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.

Calculate basic economic order quantity and annual ordering/holding costs from supplied inputs.

EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur.

Economic Order Quantity Calculator workflow: Annual demand (units/year) input to Calculate basic economic order quantity and annual ordering/holding costs from supplied inputs.
Workflow illustration. The operation images show the implemented tool.

Economic Order Quantity Calculator Quick Reference & Input Guide

Review the input parameters, allowed value ranges, and worked reference cases for the Economic Order Quantity Calculator below before running your calculation.

Parameter / ScenarioDefault / Sample ValueRule or Allowed RangeOutput / Usage Note
Input: Annual demand (units/year)10000Range: 1e-09 to 1000000000.0Required workspace parameter
Input: Cost per order50Range: 1e-09 to 1000000000.0Required workspace parameter
Input: Annual holding cost per unit2Range: 1e-09 to 1000000000.0Required workspace parameter
Worked Case 1: Baseline run (Annual demand (units/year) = 10000)Preloaded / test valuesCalculate basic economic order quantity and annual ordering/holding costs from supplied inputsAnnual demand (units/year) = 10000; Cost per order = 50; Annual holding cost per unit = 2. Output excerpt: Economic order quantity: 707.106781187 units; Orders per year: 14.1421356237; Annual ordering cost: 707.106781187; Annual holding cost: 707.106781187.
Worked Case 2: Comparison scenario (economic order quantity calculation exampl)Preloaded / test valuesCalculate basic economic order quantity and annual ordering/holding costs from supplied inputsAnnual demand (units/year) = 100; Cost per order = 10; Annual holding cost per unit = 2. Output excerpt: Economic order quantity: 31.6227766017 units; Orders per year: 3.16227766017; Annual ordering cost: 31.6227766017; Annual holding cost: 31.6227766017.

Step-by-Step Guide to Using the Economic Order Quantity Calculator

Follow these three steps to configure Annual demand (units/year), Cost per order, Annual holding cost per unit, verify unit and boundary rules, and export your Economic Order Quantity Calculator output.

Enter the inputs

Start with annual demand (units/year). Allowed range: 1e-09 to 1000000000.0.

Input and settings
Economic Order Quantity Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check units and mode

EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur.

Tool result
Economic Order Quantity Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Calculate and save

Select Calculate, check the labelled result, then use Copy result or Download result.txt.

Review the details
Economic Order Quantity Calculator: review the details in the implemented browser tool
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Practical Worked Examples for Economic Order Quantity Calculator

These concrete scenarios illustrate how the Economic Order Quantity Calculator processes baseline inputs, comparison checks, and boundary constraints.

Baseline run (Annual demand (units/year) = 10000)

Annual demand (units/year) = 10000; Cost per order = 50; Annual holding cost per unit = 2. Output excerpt: Economic order quantity: 707.106781187 units; Orders per year: 14.1421356237; Annual ordering cost: 707.106781187; Annual holding cost: 707.106781187.

Starting example: Annual demand (units/year) = 10000; Cost per order = 50; Annual holding cost per unit = 2. Output excerpt: Economic order quantity: 707.106781187 units; Orders per year: 14.1421356237; Annual ordering cost: 707.106781187; Annual holding cost: 707.106781187.
Workflow illustration. The operation images show the implemented tool.

Comparison scenario (economic order quantity calculation exampl)

Annual demand (units/year) = 100; Cost per order = 10; Annual holding cost per unit = 2. Output excerpt: Economic order quantity: 31.6227766017 units; Orders per year: 3.16227766017; Annual ordering cost: 31.6227766017; Annual holding cost: 31.6227766017.

Second example: Annual demand (units/year) = 100; Cost per order = 10; Annual holding cost per unit = 2. Output excerpt: Economic order quantity: 31.6227766017 units; Orders per year: 3.16227766017; Annual ordering cost: 31.6227766017; Annual holding cost: 31.6227766017.
Workflow illustration. The operation images show the implemented tool.

Boundary & unit check (Economic Order Quantity Calculator)

When solving for 'economic order quantity calculator', verify that Annual demand (units/year), Cost per order, Annual holding cost per unit use consistent units and stay within the documented scope: EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur.

Read the result in context: The basic model includes annual ordering and holding costs. It excludes quantity discounts, shortages, purchase-cost differences and operational constraints unless they are already reflected in your inputs.
Workflow illustration. The operation images show the implemented tool.

How to Read and Verify the Economic Order Quantity Calculator Output

The output panel reports the exact result derived from Annual demand (units/year), Cost per order, Annual holding cost per unit alongside any unit or formatting notes.

Every calculation follows the rule: Calculate basic economic order quantity and annual ordering/holding costs from supplied inputs. Because JavaScript uses IEEE 754 double-precision floating-point arithmetic, numeric outputs display up to 12 significant digits where applicable.

Always cross-check the displayed result against the scope note (EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur) before applying the value to production specifications, financial models, or lab records.

How to read the result workflow illustration
Workflow illustration. The operation images show the implemented tool.

Scope Limits, Accuracy Assumptions & Related Everyday Math Tools

Review these boundary constraints and validation rules before relying on the Economic Order Quantity Calculator output.

Operational scope: EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.

Need an adjacent calculation in Everyday Math? Use the related tools linked below to chain your workflow without leaving your browser.

Input limits and assumptions workflow illustration
Workflow illustration. The operation images show the implemented tool.

Frequently Asked Questions About Economic Order Quantity Calculator

Answers about using Economic Order Quantity Calculator and understanding its results.

What formula or rule does the Economic Order Quantity Calculator use?

The Economic Order Quantity Calculator applies the rule: Calculate basic economic order quantity and annual ordering/holding costs from supplied inputs. Enter Annual demand (units/year), Cost per order, Annual holding cost per unit into the workspace and the tool computes the exact output in your browser.

What input parameters and units are required for Economic Order Quantity Calculator?

Yes. Provide Annual demand (units/year), Cost per order, Annual holding cost per unit using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.

What are the accuracy limits and boundary assumptions for Economic Order Quantity Calculator?

EOQ = sqrt(2DS/H). Demand and cost parameters are supplied, stable and positive; the basic model assumes instant replenishment and no shortages, discounts or capacity restrictions. Relevant cost excludes purchase cost. Numeric output uses up to 12 significant digits; floating-point rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.

Is the Economic Order Quantity Calculator free and does it keep my inputs private?

Yes. All calculations for the Economic Order Quantity Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.

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