Find maximum revenue from a linear demand equation or two price and quantity points: get the best price, quantity and revenue, plus max profit with costs.

Price falls by b for each extra unit sold. A revenue function R = aQ − bQ² uses the same a and b.

The price at which quantity demanded falls to zero.

Costs for maximum profit (optional)
Constant variable cost per unit. Adds the profit-maximizing price, quantity and profit.

Leave blank for 0. Fixed costs lower profit but do not change the best price.

Maximum Revenue Formula

The formula for calculating the maximum revenue of an object is as follows:

R = p × Q
  • Where R is the maximum revenue
  • p is the price of the good or service at max demand
  • Q is the total quantity of goods at maximum demand

To calculate a maximum revenue, multiply the price of goods at maximum demand by the quantity of goods at maximum demand.

Determining the maximum demand of a good and the price at that level is a little more difficult. It involves taking the derivative of a function. For more information on this, visit our price elasticity of demand calculator.

  • Where p is price
  • and q is the theoretical demand at max price