What output maximises a firm's profit, and how do revenue and cost decide it?
Define total, average and marginal revenue, state the profit-maximisation rule, and distinguish normal from supernormal profit
A focused answer to the H2 Economics learning outcome on revenue and profit. Total, average and marginal revenue, the MR equals MC profit-maximisation rule, and the difference between normal and supernormal profit.
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What this dot point is asking
SEAB wants you to define total, average and marginal revenue, state and justify the profit-maximisation rule, and distinguish normal from supernormal profit. The central insight is that a firm chooses output by the marginal rule , and the level of profit it then earns depends on how average revenue compares with average cost.
The answer
Revenue concepts
- Total revenue (TR): price times quantity, .
- Average revenue (AR): revenue per unit, . The AR curve is therefore the firm's demand curve.
- Marginal revenue (MR): the change in total revenue from selling one more unit, .
For a price taker (perfect competition), price is constant, so and the demand curve is horizontal. For a price maker (any firm with market power), the demand curve slopes down, so to sell more the firm must lower price on all units; MR then lies below AR and falls twice as fast for a straight-line demand curve.
The profit-maximisation rule
This is the firm-level version of the marginal principle: keep doing more while the marginal benefit (MR) exceeds the marginal cost (MC).
Normal and supernormal profit
Economists treat normal profit as a cost:
Because the resources have a next-best use elsewhere, normal profit is an opportunity cost and so is included in the firm's cost curves. This is why, at , the firm still earns normal profit even though economic profit is zero.
Reading profit on the diagram
At the profit-maximising output (where ):
- Read price (= AR) off the demand curve at .
- Read average cost off the AC curve at .
- Profit per unit is ; total profit is , a rectangle.
Examples in context
Example 1. A tech platform with market power. A dominant app store faces a downward-sloping demand curve, so its marginal revenue is below price. It sets output and commission where , and because barriers to entry let price stay above average cost, it earns large supernormal profit, the rectangle between AR and AC. This is the firm-behaviour logic behind competition concerns about big platforms.
Example 2. A hawker stall in a competitive food centre. A single stall among many close substitutes is close to a price taker: it faces near-horizontal demand, so is close to . Easy entry competes profit down toward normal profit in the long run, so the stall covers its costs including the owner's opportunity cost but earns little economic profit, the competitive-market outcome.
Try this
Q1. State the profit-maximisation rule. [2 marks]
- Cue. Produce where marginal revenue equals marginal cost, with marginal cost rising through marginal revenue.
Q2. Explain why normal profit is treated as a cost. [3 marks]
- Cue. It is the opportunity cost of the resources, the return they could earn in their next-best use, so it must be covered to keep the firm in the industry and is included in cost.
Q3. A firm produces where ; at that output AR = \15AC = \. State its profit. [2 marks]
- Cue. It earns only normal profit (economic profit is zero), because average revenue exactly equals average cost.
Exam-style practice questions
Practice questions written in the style of SEAB exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
Original10 marksExplain why a profit-maximising firm produces where marginal revenue equals marginal cost, and how it then identifies its profit on a diagram.Show worked answer →
A 10 mark question rewards the marginal logic, the rule, and the profit area on a diagram.
- The rule
- A firm maximises profit where marginal revenue equals marginal cost (), with MC cutting MR from below.
- Why
- If , the last unit adds more to revenue than to cost, so producing it raises profit. If , the last unit costs more than it earns, so cutting back raises profit. Profit is greatest only where they are equal.
- Profit on the diagram
- At the profit-maximising output , read price (average revenue) off the demand curve and average cost off the AC curve. Profit per unit is , and total profit is , shown as a rectangle. If there is supernormal profit; if only normal profit; if a loss.
Markers reward the rule with the second-order condition, the marginal reasoning, and the profit rectangle correctly identified.
Original8 marksDistinguish between normal and supernormal profit, and explain why normal profit is treated as a cost.Show worked answer →
An 8 mark question rewards the two definitions and the opportunity-cost reasoning.
- Normal profit
- The minimum return needed to keep the entrepreneur in the industry, just covering the opportunity cost of the resources used. It is earned when total revenue equals total cost (including this opportunity cost).
- Supernormal profit
- Any profit above normal, earned when total revenue exceeds total cost including normal profit ().
- Why normal profit is a cost
- The resources used by the firm have a next-best use elsewhere; normal profit is the return they could earn there. Because it is the opportunity cost of staying in this industry, economists count it as a cost of production, so economic profit is revenue minus all costs including normal profit.
Markers reward normal profit as the opportunity-cost minimum, supernormal as the excess above it, and the explanation that normal profit is an opportunity cost and so a cost of production.
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