Maximum Profit Mage

Enter two actual price-and-sales observations plus your costs. The calculator will give the price that maximizes profit.

Enter Your Sales Data

Use two real observations from comparable selling periods.

Observation #1

Price #1

Amount Sold #1

Observation #2

Price #2

Amount Sold #2

Costs

Variable Cost / Unit

Total Fixed Costs

(affects profit, not optimal price)

Current / Proposed Price

Price to Evaluate

Model: Q(P) = A × e^−kP. Two observations estimate a nonlinear exponential demand curve. Results are estimates, not guarantees.

Profit-Maximizing Price

$—

Enter your data and calculate the optimum.

Expected Sales

—

Revenue

—

Expected Profit

—

Fixed Costs

—

Profit Margin

—

Elasticity

—

Marginal Profit

—

Price direction: —

Calculus Analysis

The fitted nonlinear demand model and instantaneous rates of change.

Demand Function

Q(P) = —

Profit Function

π(P) = —

dQ / dP at Current Price

—

dπ / dP at Current Price

—

The derivative of profit tells you the local direction of movement. Positive means a small price increase is expected to increase profit; negative means a small price decrease is indicated.

Estimated Profit Curve

The highlighted vertical marker identifies the calculated optimum.

Price Sensitivity

Estimated results around the calculated optimum.

Price	Est. Sales	Revenue	Variable Cost	Profit