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Economic Production Quantity

EPQ = √[2DS/(H(1−D/P))].

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EPQ calculator online

EPQ = √[2DS/(H(1−D/P))]. Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

How to use it

Enter 4 comma-separated numbers in this order: annual demand units, setup cost, annual unit holding cost, production rate units per year. Choose Calculate. Review the output, then copy or download it.

Calculation method

EPQ = √[2DS/(H(1−D/P))].

Worked examples

Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

Reproducible worked example

Settings: No additional settings.

Input:

10000, 100, 2, 40000

With the input and settings above, the tool produces:

Output:

1154.7005383792514

Limitations and common mistakes

Ideal constant-demand production model; excludes shortages, varying lead times and capacity interruptions.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
Use a dot as the decimal separator and commas or spaces between numeric entries. The calculation uses floating-point arithmetic unless exact integers are explicitly stated.

Frequently asked questions

What format should I enter?

Enter 4 comma-separated numbers in this order: annual demand units, setup cost, annual unit holding cost, production rate units per year. The worked example shows the supported structure and actual output.

How can I compute economic production quantity online?

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.