Definitions of total revenue (TR) and average revenue (AR)

Published by Patrick Mutisya · 14 days ago

Microeconomic Decision‑Makers: Firms' Costs, Revenue and Objectives

Microeconomic Decision‑Makers: Firms' Costs, Revenue and Objectives

Objective

Define Total Revenue (TR) and Average Revenue (AR) and understand their relationship.

Key Definitions

  • Total Revenue (TR): The total amount of money a firm receives from the sale of its output. It is calculated as the product of the price per unit (\$P\$) and the quantity sold (\$Q\$). \$TR = P \times Q\$
  • Average Revenue (AR): The revenue earned per unit of output sold. It is obtained by dividing total revenue by the quantity of output. \$AR = \frac{TR}{Q} = P\$

Relationship Between TR and AR

Because AR is the revenue per unit, it is equal to the market price (\$P\$) for a firm operating in a perfectly competitive market. The following table summarises the formulas and their economic interpretation.

ConceptFormulaEconomic Meaning
Total Revenue (TR)\$TR = P \times Q\$The overall monetary inflow from selling \$Q\$ units at price \$P\$.
Average Revenue (AR)\$AR = \frac{TR}{Q} = P\$Revenue earned on average per unit; equals price in perfect competition.

Illustrative Example

  1. Suppose a firm sells 200 units of a product at a market price of £5 per unit.
  2. Calculate Total Revenue: \$TR = 5 \times 200 = £1{,}000\$
  3. Calculate Average Revenue: \$AR = \frac{1{,}000}{200} = £5\$

Suggested diagram: A graph showing Total Revenue (TR) and Average Revenue (AR) curves with quantity on the horizontal axis and revenue on the vertical axis. In perfect competition, the AR curve is a horizontal line at price \$P\$.

Key Points to Remember

  • TR increases as either price or quantity sold increases.
  • AR is constant and equal to price in a perfectly competitive market; it can vary in other market structures.
  • Understanding TR and AR is essential for analysing profit, which is \$Profit = TR - TC\$ (where \$TC\$ is total cost).