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AQA A-level Economics (7136) · Price determination in a competitive market
Mini-Lesson

Price determination in a competitive market

This mini-lesson covers AQA section 4.1.3: the determinants of demand and supply, the difference between a movement and a shift, how equilibrium is reached and the three functions of the price mechanism, the calculation and use of PED, PES, YED and XED, the PED–revenue link, and consumer and producer surplus.

D S Pe Qe P1 excess supply (surplus) → price falls P2 excess demand (shortage) → price rises Quantity Price
Away from Pe the market is in disequilibrium: surpluses push price down, shortages push it up.

There are four elasticity calculations in here — get the formula the right way up and the rest follows. Work through each screen, answer the questions (some are analysis, some are real calculations) and collect ⭐ stars. Press Start when you are ready.

Demand

The demand curve and what shifts it

Demand is the quantity consumers are willing and able to buy at each price in a given period. The demand curve slopes downwards because of (i) the income effect — a lower price raises real income; (ii) the substitution effect — the good is now cheaper relative to rivals; and (iii) diminishing marginal utility — each extra unit is worth less, so you only buy it at a lower price.

movement ≠ shifta change in the good's own price → a movement along the curve (extension/contraction). Anything else → a shift of the whole curve.

Conditions of demand (PIRATES): Population · Income · Related goods (substitutes and complements) · Advertising · Tastes and fashion · Expectations of future prices · Seasons.

Exam killer: writing demand rises because price falls. That is an extension of demand, not a rise in demand. Use the words precisely — examiners are ruthless about it.

Supply

The supply curve and what shifts it

Supply is the quantity producers are willing and able to sell at each price. It slopes upwards because a higher price (i) raises the profit per unit, so existing firms expand and new firms enter, and (ii) covers the rising marginal cost of extra output (diminishing returns, 4.1.4).

Conditions of supply (PINTSWC): Productivity · Indirect taxes · Number of firms · Technology · Subsidies · Weather/shocks · Costs of production.

  • An indirect tax raises costs → supply shifts left (up by the tax).
  • A subsidy cuts costs → supply shifts right (down by the subsidy).

Joint supply (beef and leather) and competitive supply (a farmer's field can grow wheat or barley) also shift supply — a rise in the price of barley reduces the supply of wheat.

Sort it

Movement or shift?

Tap an event, then tap what it does to the market.

↔️ Movement along D

📘 Shifts demand

📕 Shifts supply

Equilibrium

Equilibrium and the price mechanism

Equilibrium is where Qd = Qs — the market clears and there is no tendency to change. Away from it, price does the work:

  • Price above Pe → excess supply (a surplus). Unsold stock forces producers to cut price; demand extends, supply contracts, until the market clears.
  • Price below Pe → excess demand (a shortage). Consumers bid the price up; supply extends, demand contracts.

This is the price mechanism, and it does three jobs at once:

  • Signalling — price conveys information about relative scarcity to everyone at once.
  • Incentive — a high price rewards producers for supplying more and consumers for economising.
  • Rationing — a scarce good goes to those willing and able to pay most.

Evaluate: rationing by price is efficient but not equitable — the poor are rationed out first. That single sentence is the bridge from 4.1.3 to 4.1.7 and 4.1.8.

Quick check

Complements in action

?The price of coffee beans rises sharply. In the market for coffee machines (a complement), we would expect
Elasticity · PED

Price elasticity of demand

PED = %Δ quantity demanded ÷ %Δ pricealways negative for a normal demand curve — we usually quote the magnitude
Elastic: |PED| > 1 flat — quantity very responsive Inelastic: |PED| < 1 steep — quantity barely moves
Elastic demand is relatively flat (quantity responds a lot); inelastic demand is relatively steep.
  • |PED| > 1 → elastic (luxuries, goods with close substitutes, long time period, big share of income).
  • |PED| < 1 → inelastic (necessities, addictive goods, no substitutes, short run, tiny share of income).
  • |PED| = 1 → unit elastic; 0 → perfectly inelastic; ∞ → perfectly elastic.

Determinants — SPLAT: Substitutes · Percentage of income · Luxury or necessity · Addictive/habit-forming · Time.

Worked example

Price rises from £4 to £5: %ΔP = (1 ÷ 4) × 100 = +25%.

Quantity demanded falls from 200 to 170: %ΔQd = (−30 ÷ 200) × 100 = −15%.

PED = −15 ÷ 25 = −0.6inelastic. Total revenue rises: £4 × 200 = £800 before, £5 × 170 = £850 after.

Calculate

Your turn — calculate PED

1The price of a rail ticket rises from £20 to £23. Weekly passenger journeys fall from 8,000 to 7,400. Calculate the PED, giving the magnitude (ignore the minus sign) to 2 decimal places.
(no units)
Hint: %ΔP = (3 ÷ 20) × 100 = 15%. %ΔQd = (−600 ÷ 8,000) × 100 = −7.5%. PED = 7.5 ÷ 15.
Elasticity · PED and revenue

PED and total revenue

TR = P × Qwhether a price rise raises or cuts revenue depends entirely on PED
  • Demand inelastic (|PED| < 1): Q falls proportionately less than P rises → raise price to raise revenue. This is why the government taxes cigarettes and fuel, and why train operators can push up peak fares.
  • Demand elastic (|PED| > 1): Q falls proportionately more than P rises → cut price to raise revenue. A supermarket discounting branded cereal is banking on this.
  • Demand unit elastic: revenue is unchanged (it is at its maximum on a straight-line demand curve).

Careful — revenue is not profit. Cutting price to sell more raises revenue only if demand is elastic, and raises profit only if the extra revenue also beats the extra cost of the extra units (MR > MC).

Quick check

Price up or price down?

?A firm faces PED = −1.6 for its product. To increase total revenue it should
Elasticity · YED and XED

Income and cross elasticity of demand

YED = %ΔQd ÷ %Δ incomesign tells you the type of good; size tells you how sensitive it is
  • YED positivenormal good. If YED > 1 it is a luxury (restaurant meals, foreign holidays — demand is income elastic). If 0 < YED < 1 it is a necessity (bread, electricity).
  • YED negativeinferior good: demand falls as income rises (bus travel, supermarket value ranges).
XED = %ΔQd of good A ÷ %ΔP of good Bpositive → substitutes · negative → complements · around zero → unrelated
  • XED > 0: substitutes (Coke and Pepsi). A large positive XED means fierce rivalry — very relevant to oligopoly (4.1.5).
  • XED < 0: complements (printers and ink; cars and petrol).

Why firms care: a supermarket with a portfolio of luxury (high YED) goods is very exposed in a recession; a discounter selling inferior goods can actually grow. That is a ready-made evaluation point in any macro-to-micro question.

Calculate

Your turn — calculate YED

2Average income rises from £25,000 to £27,000. Demand for bus journeys falls from 500 to 470 per week. Calculate the YED, including the sign, to 2 decimal places.
(no units)
Hint: %ΔY = (2,000 ÷ 25,000) × 100 = 8%. %ΔQd = (−30 ÷ 500) × 100 = −6%. YED = −6 ÷ 8. A negative YED means an inferior good.
Calculate

Your turn — calculate XED

3The price of tea rises by 10%. The quantity of coffee demanded rises by 4%. Calculate the XED of coffee with respect to the price of tea.
(no units)
Hint: XED = %ΔQd of coffee ÷ %ΔP of tea = +4 ÷ +10. A positive answer means the two goods are substitutes.
Elasticity · PES

Price elasticity of supply

PES = %Δ quantity supplied ÷ %Δ pricenormally positive, because supply slopes upwards

Determinants of PES — how easily can a firm expand output?

  • Time period — the biggest one. In the very short run supply is close to perfectly inelastic (a fisherman's catch is already landed); in the long run all factors are variable, so supply is far more elastic.
  • Spare capacity and stocks — plenty of both → elastic supply.
  • Factor mobility — can workers and machines be switched into this good quickly?
  • Ease of entry — low barriers → new firms can pile in.

Classic application: housing supply in the UK is highly inelastic (planning restrictions, slow build times), so a rise in demand feeds mostly into price, not quantity. Agricultural supply is inelastic in the short run, which is why crop failures cause price spikes — and why farm incomes are so volatile.

Calculate

Your turn — calculate PES

4A price rise of 10% causes a producer to raise quantity supplied from 500 to 600 units. Calculate the PES.
(no units)
Hint: %ΔQs = (100 ÷ 500) × 100 = 20%. PES = 20 ÷ 10. PES > 1, so supply is elastic.
Match it

Read the elasticity value

Tap an elasticity value on the left, then what it tells you.

Value
Interpretation
Welfare

Consumer and producer surplus

The demand curve shows what consumers are willing to pay; the supply curve shows the price at which producers are willing to sell.

D S Pe Qe consumer surplus producer surplus total welfare = consumer surplus + producer surplus
Consumer surplus sits above the price and below demand; producer surplus below the price and above supply.
  • Consumer surplus = willingness to pay price actually paid. On the diagram: the area below D and above Pe.
  • Producer surplus = price received the minimum price the producer would have accepted. The area above S and below Pe.
  • Their sum is total welfare (community surplus), and in a competitive market with no externalities it is maximised at equilibrium — a first look at allocative efficiency.

How elasticity changes the split: the more inelastic demand is, the larger consumer surplus (people would have paid far more). A monopolist raising price above Pe converts part of consumer surplus into producer surplus and destroys the rest as deadweight loss (4.1.5).

Quick check

Why is equilibrium efficient?

?In a competitive market with no externalities, total welfare is maximised at equilibrium because
Quick check

Which good would you tax?

?A government wants to raise tax revenue from a good. Other things equal, it should tax a good whose demand is
Recap

The big ideas to know

Demand and supply: own price → movement; anything else → shift (PIRATES / PINTSWC)

Equilibrium: Qd = Qs; surplus pushes price down, shortage pushes it up

Price mechanism: signalling · incentive · rationing — efficient, but not equitable

PED: %ΔQd/%ΔP — inelastic → raise price to raise revenue; elastic → cut price

YED: positive = normal (>1 luxury); negative = inferior

XED: positive = substitutes; negative = complements

PES: %ΔQs/%ΔP — time, spare capacity, stocks, factor mobility

Welfare: consumer surplus (below D, above P) + producer surplus (above S, below P) = total welfare, maximised at equilibrium

You have covered the whole of AQA 4.1.3. Press Finish to see your score.

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