Calculation of TR and AR

Published by Patrick Mutisya · 14 days ago

IGCSE Economics 0455 – Firms' Costs, Revenue and Objectives

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

Learning Objective

Calculate Total Revenue (TR) and Average Revenue (AR) for a firm operating in a perfectly competitive market.

Key Definitions

  • Total Revenue (TR): The total amount of money a firm receives from the sale of its output.

    \$TR = P \times Q\$

    where \$P\$ = price per unit, \$Q\$ = quantity sold.

  • Average Revenue (AR): Revenue earned per unit of output sold. In perfect competition AR equals the market price.

    \$AR = \frac{TR}{Q} = P\$

Step‑by‑Step Calculation

  1. Identify the market price (\$P\$). In a perfectly competitive market the price is constant for all units sold.
  2. Determine the quantity of output the firm intends to sell (\$Q\$).
  3. Calculate Total Revenue using \$TR = P \times Q\$.
  4. Calculate Average Revenue using \$AR = \frac{TR}{Q}\$ (or recognise that \$AR = P\$).

Worked Example

A firm operates in a market where the price of each widget is $£5. The firm sells the following quantities of widgets per week:

Quantity (\$Q\$)Price (\$P\$)Total Revenue (\$TR\$)Average Revenue (\$AR\$)
0£5£0
10£5£50£5
20£5£100£5
30£5£150£5
40£5£200£5

Notice that because the price is constant, \$AR\$ remains equal to \$P\$ for every level of output.

Important Points for Examination

  • In perfect competition, \$AR\$ is always equal to the market price.
  • When asked to calculate \$TR\$, always multiply the given price by the quantity sold.
  • If the price is not given directly, it may be derived from a demand schedule or a price‑output table.
  • Remember that \$TR\$ and \$AR\$ are revenue concepts only; they do not incorporate costs.

Suggested diagram: Plot of Total Revenue (TR) and Average Revenue (AR) against Quantity (Q) showing a straight‑line AR curve at the market price and a linear upward‑sloping TR curve.