Edexcel A-level Economics A (9EC0) · 3.3 Revenues, costs and profits
Mini-Lesson
Revenues, costs and profits
This is the engine room of Theme 3. Everything in market structures (3.4) is built from the curves you meet here: revenue (3.3.1), costs (3.3.2), economies and diseconomies of scale (3.3.3), and normal profit, supernormal profit and the shut-down points (3.3.4).
There are six calculations in this lesson. Have a pen ready. Press Start.
3.3.1 · revenue
Total, average and marginal revenue
TR = P × Q · AR = TR ÷ Q = P · MR = ΔTR ÷ ΔQaverage revenue IS the price — so the AR curve IS the demand curve
Total revenue (TR) — all the money coming in from sales.
Average revenue (AR) — revenue per unit. Since TR = P × Q, AR = (P × Q) ÷ Q = P. This is why the AR curve and the demand curve are the same line.
Marginal revenue (MR) — the addition to TR from selling one more unit.
Two cases you must distinguish:
Price taker (perfect competition): the firm can sell any quantity at the market price, so AR = MR = P and the demand curve it faces is horizontal.
Price maker (everything else): to sell more it must cut the price on every unit, so MR < AR, and MR falls twice as steeply as AR.
3.3.1b · revenue and PED
Revenue and price elasticity of demand
The link between MR and PED is a favourite of examiners:
Where MR is positive, demand is elastic. MR = 0 at the top of the TR curve (PED = 1). Below that, MR is negative.
The killer point: a profit-maximising firm produces where MC = MR, and MC is always positive, so MR must be positive too. A profit maximiser therefore never operates on the price-inelastic part of its demand curve.
Calculate
Marginal revenue from a schedule
A price-making firm faces this demand schedule:
Price (£)
10
9
8
7
6
Quantity
1
2
3
4
5
1Calculate the marginal revenue of the 4th unit.
£
Hint: TR at Q = 3 is 8 × 3. TR at Q = 4 is 7 × 4. MR = the difference.
Quick check
Why is MR below AR?
?In the table above, the 4th unit sells for £7 — yet its marginal revenue is only £4. Why?
3.3.2 · costs
The seven cost concepts
TC = TFC + TVCAC = TC ÷ Q · AFC = TFC ÷ Q · AVC = TVC ÷ Q · MC = ΔTC ÷ ΔQ · AC = AFC + AVC
Fixed costs (TFC) — do not vary with output (rent, insurance, business rates). They exist only in the short run as a distinct category.
AFC falls continuously as output rises — the same fixed cost is "spread" over more units. This is "spreading the overheads".
MC is the cost of producing one more unit. Because fixed costs don't change, MC is driven entirely by variable costs.
Definition of the short run: the period in which at least one factor of production is fixed. In the long run, all factors — including capital — are variable, so there are no fixed costs in the long run.
3.3.2b · the short run
The law of diminishing marginal returns
This law explains why the short-run MC curve slopes upwards, and it is the foundation of the whole cost diagram.
as more of a variable factor is added to a fixed factor, eventually the marginal product of the variable factor fallsnote the words "eventually" and "fixed factor" — both are marks
Think of a kitchen with a fixed number of ovens. The first extra chef raises output a lot. The fifth adds less — they queue for the oven. Because each extra chef costs the same wage but produces less extra output, the cost of each extra meal — the marginal cost — must rise.
MC cuts AVC and AC at their minimum points — because whenever the marginal is below the average, it pulls the average down.
The "cricket average" intuition: if your next innings scores below your career average, your average falls. If it scores above, your average rises. So MC must cut AC exactly at AC's lowest point. Nothing else is possible.
Calculate
Marginal cost from a table
A firm's total costs (£) are:
Output
0
1
2
3
4
5
Total cost (£)
100
140
170
190
225
275
2Calculate the marginal cost of the 5th unit.
£
Hint: MC = ΔTC ÷ ΔQ = 275 − 225.
Calculate
Average total cost
Using the same table (TC at Q = 4 is £225):
3Calculate the average total cost at an output of 4 units.
£
Hint: AC = TC ÷ Q = 225 ÷ 4.
Calculate
Average variable cost
Same table. Notice that at Q = 0 total cost is already £100 — that must be the firm's total fixed cost.
4Calculate the average variable cost at an output of 4 units.
AFC + AVC = 25 + 31.25 = £56.25 = AC ✓ (and 225 ÷ 4 = 56.25 ✓)
Diminishing returns in the numbers
MC of unit 1 = 140 − 100 = £40 · unit 2 = £30 · unit 3 = £20 · unit 4 = £35 · unit 5 = £50
MC falls to a minimum at the 3rd unit (increasing marginal returns) then rises — diminishing marginal returns have set in from the 4th unit onwards.
Quick check
Where do the curves cross?
?Which statement about the short-run cost curves is always true?
3.3.3 · the long run
Economies of scale
In the long run all factors are variable, so the firm can change its scale. Economies of scale are falling long-run average costs as output rises.
Internal (arise from the growth of the firm itself) — remember RUFMPT:
Risk-bearing — a diversified firm can absorb a shock in one market.
Financial — big firms borrow more cheaply (lower risk premium, access to bond markets).
Managerial — specialist managers (an HR director, a tax specialist) can be afforded and their cost spread.
Technical — indivisible capital (a blast furnace, a container ship) works at lower unit cost when used at full capacity; also the division of labour.
Purchasing (bulk-buying) — discounts from suppliers on large orders.
Marketing — the cost of a national ad campaign is spread across far more units.
External economies arise from the growth of the whole industry, not the firm — e.g. a skilled local labour pool, specialist suppliers clustering nearby, better transport infrastructure. Silicon Valley is the textbook case; every firm there benefits, however small.
3.3.2c / 3.3.3b · LRAC and MES
Diseconomies of scale, MES and the LRAC
Diseconomies of scale — rising LRAC — are essentially human: coordination problems, communication failures across layers of hierarchy, and falling worker motivation and morale ("alienation") in a vast organisation.
The LRAC is the envelope of all possible SRAC curves. MES = the lowest output at which LRAC is minimised.
Minimum efficient scale (MES) is the smallest output at which the firm achieves the lowest possible LRAC. It matters enormously for market structure: if MES is huge relative to market demand, only a few firms can survive — you get oligopoly, or in the extreme a natural monopoly. If MES is tiny, many small firms coexist.
Why L-shaped, not U-shaped? Empirically, LRAC often flattens after MES rather than turning sharply up: firms avoid diseconomies by decentralising, and technology keeps lowering costs. The flat range means firms of very different sizes can all be cost-competitive.
Sort it
Economy, diseconomy or external?
Tap a situation, then tap the correct box.
⬇️ Internal economy
🌍 External economy
⬆️ Diseconomy
3.3.4 · profit
Normal profit, supernormal profit and losses
Economists count opportunity cost as a cost. That changes what "profit" means.
Normal profit — the minimum reward needed to keep the entrepreneur in this industry; equal to what they could earn in their next best alternative. It is a cost of production, so it is included in AC. Normal profit occurs where AR = AC (also called break-even).
Supernormal (abnormal) profit — any profit above normal. It exists where AR > AC. It is the signal that attracts entry into a market.
Loss (subnormal profit) — where AR < AC. The signal for exit.
supernormal profit = (AR − AC) × Qthis is the rectangle you must shade on every market-structure diagram
The classic mistake: writing that a firm making "zero economic profit" is doing badly. A firm earning only normal profit is doing exactly well enough to stay — it is covering every cost, including the opportunity cost of the owner's capital and time.
Calculate
Supernormal profit
At its profit-maximising output a firm sells 20,000 units at a price of £12. Its average total cost at that output is £9.
5Calculate its supernormal profit.
£
Hint: profit per unit = AR − AC = 12 − 9. Multiply by the quantity.
3.3.4c · shut-down points
The short-run and long-run shut-down points
A loss-making firm faces a decision. The answer depends on the time horizon, because fixed costs are sunk in the short run — they must be paid whether the firm produces or not.
SHORT RUN: shut down if P < AVC LONG RUN: shut down if P < ACin the short run, cover your variable costs and any surplus contributes to fixed costs
Loss-making but P > AVC: producing loses less money than shutting down, because output still contributes to the fixed costs.
The logic: if the firm shuts in the short run, it loses all of its fixed costs. If it keeps producing and P > AVC, each unit generates a surplus (P − AVC) that contributes towards those fixed costs, so its loss is smaller. In the long run there are no fixed costs, so anything below AC means exit.
Calculate
Contribution to fixed costs
A firm sells at £8 per unit. Its AVC = £6 and its AFC = £4 at the current output.
6Calculate the contribution per unit towards fixed costs (P − AVC).