Finance · Business & Commerce

Optimal Price Calculator

Estimate the price that maximizes profit under an entered linear demand curve with positive model demand.

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Quick guide

How to use this calculator

  1. Enter only the business amounts, rates, counts, or operating assumptions named by the fields.
  2. Keep currencies, reporting periods, quantities, and accounting classifications consistent.
  3. Review the formula and calculator-specific limitations before using the result in a decision.

Calculation method

Calculation method

For demand Q = intercept − slope × price, optimal price = (intercept + slope × variable cost) ÷ (2 × slope).

Fixed-decimal arithmetic remains exact through display unless a result is explicitly labelled approximate, such as a square-root inventory quantity.

Worked example

Worked example

Demand intercept 1,000, slope 10, and variable cost 20 imply an optimal price of 60.00 and model demand of 400 units.

For demand Q = intercept − slope × price, optimal price = (intercept + slope × variable cost) ÷ (2 × slope).

Supported inputs

Precision and limits

Visible input limits

Fixed decimals accept up to 30 digits and 12 decimal places and are capped at an absolute value of 1e12 per input. Rates are capped at 1000%; percentage shares and method-specific domains may be narrower.

International scope

No currency, tax jurisdiction, accounting framework, payroll rule, marketplace fee schedule, financing term, or industry benchmark is selected automatically.

Decision boundary

Results are arithmetic scenarios from visitor-entered assumptions, not accounting records, forecasts, valuations, legal interpretations, professional advice, or recommendations.

Calculator-specific assumptions

This is a simplified linear-demand scenario. It excludes capacity, competitors, taxes, nonlinear demand, customer segmentation, and strategic effects.