Quick guide
How to use this calculator
- Gather Demand intercept (units), Demand reduction per price unit, and Variable cost per unit for the same business scenario before calculating.
- Use one definition of unit, price, variable cost, fixed cost, markup, and margin throughout; markup on cost is not the same as margin on revenue.
- Apply the displayed optimal price result to the stated decision only after checking every entered assumption.
Calculation method
Calculation method
For demand Q = intercept − slope × price, optimal price = (intercept + slope × variable cost) ÷ (2 × slope).
The calculation uses these named inputs: Demand intercept (units), Demand reduction per price unit, and Variable cost per unit. No market rate, benchmark, tax rule, or accounting classification is inserted automatically.
Fixed-decimal arithmetic remains exact through display unless a result is explicitly labelled approximate, such as a square-root inventory quantity.
Pricing, margins and break-even
Where the Optimal Price Calculator helps
Estimate the price that maximizes profit under an entered linear demand curve with positive model demand.
Use the result to test whether an entered price and volume scenario covers the costs assigned to that scenario.
- Quote a new product or service
- Test a supplier-cost or discount change
- Compare volume needed at two candidate prices
Interpretation check
How to audit the result
Recalculate the scenario when any of these inputs changes: Demand intercept (units), Demand reduction per price unit, and Variable cost per unit.
Keep this formula beside the result: For demand Q = intercept − slope × price, optimal price = (intercept + slope × variable cost) ÷ (2 × slope). Then compare the output with the source records and the calculator-specific assumption below.
- Confirm that all amounts use one currency and reporting period.
- Check that rates, counts, and quantities describe the same population or transaction set.
- Save the entered assumptions with the decision; the result alone is not reproducible evidence.
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
Use the result to test whether an entered price and volume scenario covers the costs assigned to that scenario. Results remain arithmetic scenarios, 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.