Use of demand and supply diagrams to illustrate the impact of changes in market conditions

Allocation of Resources – Price Changes (Cambridge IGCSE/A‑Level Economics 0455)

Understanding how market conditions affect price, quantity, consumer expenditure and firm revenue is essential for analysing the allocation of resources. This note explains how to use demand‑ and supply‑diagrams, covers price‑elasticity concepts, government interventions and a brief overview of market economic systems, all aligned with the Cambridge syllabus.

1. The Basic Demand‑Supply Model

  • Demand curve: \(Q_d = f(P)\) – quantity demanded falls as price rises (downward‑sloping).
  • Supply curve: \(Q_s = g(P)\) – quantity supplied rises as price rises (upward‑sloping).
  • Equilibrium: where \(Qd = Qs\). The intersection gives the equilibrium price (\(P^{*}\)) and quantity (\(Q^{*}\)).

Standard demand and supply curves intersecting at equilibrium. Axes: price (P) on the vertical, quantity (Q) on the horizontal. Labels: D, S, \(P^{*}\), \(Q^{*}\).

2. Shifts in Demand

A factor other than the good’s own price (income, tastes, price of related goods, expectations, number of buyers) moves the whole demand curve.

FactorDirection of demand shiftEffect on \(P^{*}\)Effect on \(Q^{*}\)
Increase in consumer income (normal good)RightwardRiseRise
Decrease in consumer income (normal good)LeftwardFallFall
Price rise of a substituteRightwardRiseRise
Price rise of a complementLeftwardFallFall
Expectations of higher future priceRightward (current demand ↑)RiseRise

Demand shifts rightward from \(D1\) to \(D2\); new equilibrium at higher \(P^{*}\) and higher \(Q^{*}\).

3. Shifts in Supply

Changes in production costs, technology, number of sellers, or government policy move the whole supply curve.

FactorDirection of supply shiftEffect on \(P^{*}\)Effect on \(Q^{*}\)
Improvement in technologyRightwardFallRise
Increase in input pricesLeftwardRiseFall
More firms enter the marketRightwardFallRise
Regulatory restrictions (e.g., quotas)LeftwardRiseFall
Expectations of future price rise (producers hold back stock)Leftward (short‑run)RiseFall

Supply shifts leftward from \(S1\) to \(S2\); new equilibrium at higher \(P^{*}\) and lower \(Q^{*}\).

4. Simultaneous Shifts in Demand and Supply

When both curves move, the direction of change in price and quantity depends on the relative magnitude of the shifts.

  • Both shift rightward: Quantity definitely rises; price may rise, fall or stay the same.
  • Both shift leftward: Quantity definitely falls; price outcome is ambiguous.
  • Demand rightward, supply leftward: Price rises; quantity effect is uncertain.
  • Demand leftward, supply rightward: Price falls; quantity effect is uncertain.

Combination of shiftsDirection of \(P^{*}\)Direction of \(Q^{*}\)
↑D & ↑S↑, ↓ or ↔ (depends on magnitude)
↓D & ↓S↑, ↓ or ↔ (depends on magnitude)
↑D & ↓S↑ or ↓ (depends)
↓D & ↑S↑ or ↓ (depends)

Demand shifts rightward while supply shifts leftward; new equilibrium shows higher price and an indeterminate change in quantity.

5. Government Interventions in Markets

5.1 Price Floors (Minimum Prices)

  • Set above the equilibrium price → creates a surplus (excess supply).
  • Typical example: agricultural price support.

Horizontal line above \(P^{*}\) representing the floor; surplus is the gap between \(Qs\) and \(Qd\) at that price.

5.2 Price Ceilings (Maximum Prices)

  • Set below the equilibrium price → creates a shortage (excess demand).
  • Typical example: rent control.

Horizontal line below \(P^{*}\) representing the ceiling; shortage is the gap between \(Qd\) and \(Qs\) at that price.

5.3 Specific Taxes

A per‑unit tax on producers shifts the supply curve upward (or leftward) by the amount of the tax.

  • Consumer price rises (price paid = \(P_c\)).
  • Producer price falls (price received = \(Pp = Pc - t\)).
  • Quantity sold falls.

Original supply \(S\) and tax‑shifted supply \(S{tax}\); vertical distance between them equals the tax \(t\). Show \(Pc\) and \(P_p\).

5.4 Specific Subsidies

A per‑unit subsidy to producers shifts the supply curve downward (or rightward) by the amount of the subsidy.

  • Consumer price falls (price paid = \(P_c\)).
  • Producer price rises (price received = \(Pp = Pc + s\)).
  • Quantity sold rises.

Original supply \(S\) and subsidised supply \(S{sub}\); vertical distance equals the subsidy \(s\). Show \(Pc\) and \(P_p\).

6. Consequences of Price Changes for Consumer Expenditure and Firm Revenue (Syllabus 2.5)

When price changes, three related variables are affected:

  1. Consumer expenditure = \(P \times Q_d\).
  2. Firm revenue (Total Revenue, TR) = \(P \times Q_s\).
  3. Market outcome – surplus or shortage.

Example – Luxury good (elastic demand)

  • Initial: \(P0 = £10\), \(Q0 = 1,000\) → TR\(_0 = £10,000\).
  • Price rises to \(P1 = £12\) (↑20 %). Quantity falls to \(Q1 = 800\) (↓20 %). TR\(_1 = £9,600\).
  • Because \(|\text{PED}|>1\), total revenue falls when price rises.

Example – Necessity (inelastic demand)

  • Initial: \(P0 = £5\), \(Q0 = 2,000\) → TR\(_0 = £10,000\).
  • Price rises to \(P1 = £6\) (↑20 %). Quantity falls to \(Q1 = 1,800\) (↓10 %). TR\(_1 = £10,800\).
  • Because \(|\text{PED}|<1\), total revenue rises when price rises.

These calculations are the basis for answering “what happens to consumer spending/firm revenue when price changes?” – a common Paper 2 command.

7. Price Elasticity of Demand (PED) – Syllabus 2.6

7.1 Definition & Formula

PED measures the responsiveness of quantity demanded to a change in price.

\[

\text{PED} = \frac{\%\Delta Q_d}{\%\Delta P}

\]

7.2 Mid‑point (Arc) Formula – required for “calculate” questions

\[

\text{PED}_{\text{mid}} =

\frac{\displaystyle \frac{Q2 - Q1}{(Q1+Q2)/2}}

{\displaystyle \frac{P2 - P1}{(P1+P2)/2}}

\]

This formula gives the same elasticity regardless of the direction of the price change.

7.3 Quick‑Calc Checklist

  1. Identify the initial and new price (\(P1, P2\)) and quantity (\(Q1, Q2\)).
  2. Calculate \(\%\Delta P = \dfrac{P2-P1}{(P1+P2)/2}\times 100\).
  3. Calculate \(\%\Delta Q = \dfrac{Q2-Q1}{(Q1+Q2)/2}\times 100\).
  4. Divide \(\%\Delta Q\) by \(\%\Delta P\) to obtain PED.
  5. Interpret the sign (ignore the negative sign for magnitude) and compare with 1.

7.4 Interpretation of the Coefficient

PED value (|PED|)Demand typeRevenue implication when price rises
> 1ElasticTR falls
= 1Unitary elasticTR unchanged
< 1InelasticTR rises
0Perfectly inelastic (vertical demand)TR unchanged regardless of price
Perfectly elastic (horizontal demand)Any price rise eliminates all sales

7.5 Determinants of PED

DeterminantEffect on elasticity
Availability of close substitutesMore substitutes → more elastic
Proportion of income spent on the goodHigher proportion → more elastic
Necessity vs. luxuryNecessities → inelastic; luxuries → elastic
Time‑period for adjustmentLonger period → more elastic
Definition of the market (broad vs. narrow)Narrow definition (e.g., specific brand) → more elastic

7.6 Graphical Representation

A flatter (more horizontal) demand curve indicates a higher (more elastic) PED; a steeper (more vertical) curve indicates a lower (more inelastic) PED. The midpoint method is illustrated by drawing a line between two points on the curve and measuring the percentage changes.

Two demand curves: \(D{elastic}\) (flatter) and \(D{inelastic}\) (steeper) drawn against the same supply curve to show opposite revenue outcomes after a price rise.

7.7 Using PED in Decision‑Making

  • Firms: raise price if demand is inelastic, cut price if demand is elastic to maximise total revenue.
  • Government: anticipate how a tax or price control will affect consumer expenditure and tax revenue; choose policies that minimise welfare loss.

8. Price Elasticity of Supply (PES) – Syllabus 2.7

8.1 Definition & Formula

PES measures the responsiveness of quantity supplied to a change in price.

\[

\text{PES} = \frac{\%\Delta Q_s}{\%\Delta P}

\]

8.2 Mid‑point (Arc) Formula

\[

\text{PES}_{\text{mid}} =

\frac{\displaystyle \frac{Q{s2} - Q{s1}}{(Q{s1}+Q{s2})/2}}

{\displaystyle \frac{P2 - P1}{(P1+P2)/2}}

\]

8.3 Determinants of PES

DeterminantEffect on elasticity
Availability of spare capacityMore spare capacity → more elastic
Time‑period for adjustmentLonger period → more elastic (firms can re‑allocate resources)
Mobility of factors of productionHighly mobile factors → more elastic
Complexity of production processComplex/technology‑intensive → less elastic
Number of firms in the marketMore firms → more elastic (greater total industry response)

8.4 Graphical Representation

A relatively flat supply curve indicates a high PES (quantity supplied changes a lot with price); a steep supply curve indicates a low PES. The diagram below can be used to illustrate the effect of a tax on a market with either elastic or inelastic supply.

Supply curves \(S{elastic}\) (flatter) and \(S{inelastic}\) (steeper) with a tax‑induced leftward shift; the larger dead‑weight loss occurs with the more inelastic supply.

8.5 Using PES in Decision‑Making

  • Policy makers: a tax on a good with inelastic supply will generate more revenue with a smaller reduction in output.
  • Firms: in markets with elastic supply, producers can increase output quickly in response to price rises, affecting short‑run profit strategies.

9. Market Economic Systems (Syllabus 2.8)

A brief comparison to help students place the price‑mechanism within broader economic systems.

SystemKey FeaturesAdvantagesDisadvantages
Market (pure) economyResources allocated by price mechanism; private ownership; profit motive.Efficient allocation, innovation, consumer choice.Potential inequality; market failures (externalities, public goods).
Mixed economyMarket forces dominate but government intervenes (taxes, subsidies, regulation).Combines efficiency with equity; can correct failures.Risk of over‑regulation; possible government failure.
Command (planned) economyCentral authority decides production, prices and distribution.Can achieve specific social goals; reduces inequality.Often inefficient; shortages or surpluses; lack of incentives.

10. Evaluation of Government Interventions (AO3)

When answering essay‑type questions, weigh advantages against disadvantages and link to diagrams (e.g., dead‑weight loss).

InterventionPotential AdvantagesPotential Disadvantages / Unintended Consequences
Price floorProtects producers’ income; prevents “race to the bottom”.Creates surplus → waste, storage costs, may require government purchase; keeps inefficient firms alive.
Price ceilingMakes essential goods affordable; can reduce poverty.Creates shortage → black markets, reduced quality, long queues; discourages investment.
Specific taxRaises government revenue; can correct negative externalities (e.g., cigarettes).If demand is inelastic, burden falls on consumers; may encourage smuggling or evasion.
SubsidyEncourages production/consumption of socially desirable goods (e.g., renewable energy); lowers price for consumers.Fiscal cost; risk of over‑production; can distort market signals.

11. Summary Table – How Market Conditions Affect Price and Quantity

Market changeCurve that shiftsDirection of shiftEffect on \(P^{*}\)Effect on \(Q^{*}\)
Higher consumer income (normal good)DemandRightward
Improved production technologySupplyRightward
Price floor set above equilibriumArtificial price ↑↓ (surplus)
Price ceiling set below equilibriumArtificial price ↓↑ (shortage)