Issachui AcademyMATHEMATICS & ECONOMICS
IAL ECONOMICS STUDY GUIDE Unit 1 · Markets in Action

IAL ECONOMICS / STUDY GUIDE

11. Price Elasticity of Supply (PES)

Price elasticity of supply measures how easily output adjusts to a price change.

Must know

  • PES equals percentage change in quantity supplied divided by percentage change in price.
  • Spare capacity and stocks increase flexibility.
  • Longer adjustment time often increases responsiveness.

Must know definitions

Price elasticity of supply (PES): measures the responsiveness of quantity supplied to a change in price.

Elastic supply: PES > 1; quantity supplied changes more than proportionately to a price change.

Inelastic supply: PES < 1; quantity supplied changes less than proportionately to a price change.

Unitary elastic supply: PES = 1; quantity supplied changes exactly proportionately to a price change.

Perfectly inelastic supply: PES = 0; quantity supplied does not change regardless of price.

Perfectly elastic supply: PES = ∞; any quantity can be supplied at a given price.

Short run: time period where at least one factor of production is fixed.

Long run: time period where all factors of production are variable.

Spare capacity: unused resources that allow firms to increase output quickly.

Must know relationship: PES = %ΔQs / %ΔP.

Calculation: Qs is quantity supplied and P is price. PES has no unit: compare its value with 1 to judge responsiveness. Use percentage changes, not the ratio of the raw quantity and price changes.

Explain and apply

Mechanism in brief: A higher price encourages extra production. Existing stocks and spare capacity permit a quick response; long production cycles or specialised inputs restrict how far quantity can increase in the short run.

Distinguish: More elastic does not necessarily mean greater than one; PES can equal zero.

Use the extract: Identify spare capacity, stocks, production time and factor mobility; explain why these allow or prevent extra output.

The concept of price elasticity of supply

Price elasticity of supply (PES) measures the responsiveness of quantity supplied to a change in price.

  • It shows how easily producers can adjust their output when the market price changes.
  • A high PES means output can be scaled up or down quickly; a low PES means output is hard to change.

Calculation and interpretation of numerical values of PES

PES is calculated as the percentage change in quantity supplied divided by the percentage change in price: PES = %ΔQs / %ΔP.

  • A value above 1 means supply is elastic; below 1 means inelastic; exactly 1 is unitary elastic.
  • The extremes are perfectly elastic (PES = ∞) and perfectly inelastic (PES = 0).
PES valueDescriptionMeaning
∞Perfectly elasticA horizontal supply curve: supply is perfectly elastic at the given price.
> 1ElasticA price change causes a more than proportionate change in quantity supplied
= 1Unitary elasticA price change causes an exactly proportionate change in quantity supplied
0 to 1InelasticA price change causes a less than proportionate change in quantity supplied
0Perfectly inelasticA price change causes no change in quantity supplied; supply is fixed

PES is normally non-negative for the standard upward-sloping supply curve. A vertical supply curve has PES = 0; a horizontal supply curve is perfectly elastic.

Figure 1.16 PES comparison — Elastic at E

Figure 1.16  PES comparison — Elastic at E
Click to enlarge

Interpretation: for this straight supply line, the positive price-axis intercept gives PES > 1 at E. The percentage quantity response exceeds the percentage price change.

Figure 1.17 PES comparison — Unit elastic at E

Figure 1.17  PES comparison — Unit elastic at E
Click to enlarge

Interpretation: a straight supply line through the origin has PES = 1 at every positive point, regardless of its gradient.

Figure 1.18 PES comparison — Inelastic at E

Figure 1.18  PES comparison — Inelastic at E
Click to enlarge

Interpretation: this straight supply line has a positive quantity-axis intercept, giving PES < 1 at E. The percentage quantity response is smaller than the percentage price change.

Diagram link: PES comparison earlier in this topic. Apply the same labels and assumptions to the change described here.

Figure 1.19 PES comparison — Perfectly inelastic

Figure 1.19  PES comparison — Perfectly inelastic
Click to enlarge

Figure 1.20 PES comparison — Perfectly elastic

Figure 1.20  PES comparison — Perfectly elastic
Click to enlarge

Worked example: If the price of wheat rises by 15% and quantity supplied rises by 20%:

PES = %ΔQs / %ΔP = +20% / +15% = +1.33

Since PES is positive (price and quantity supplied moved in the same direction, as the law of supply predicts) and greater than 1, supply of wheat is relatively price elastic in this case.

Factors influencing PES

Whether supply is elastic or inelastic depends on how easily a firm can change its output — chiefly the time scale, spare capacity, and level of stocks.

  • Firms with unused resources or storable stock can respond more quickly, tending to make supply more elastic.
  • Perishable goods, full capacity, immobile resources and legal limits tend to make supply less elastic.

Barriers to entry matter too

low barriers let new firms enter and add to market supply.

FactorMore elastic supplyLess elastic supply
Time scaleLong run — all factors of production can be adjustedShort run — some factors are fixed
Spare capacityFirm has unused resources (e.g. during a recession)Operating at full capacity, no room to expand
Level of stocksGoods are durable and can be stored (e.g. CDs)Goods are perishable, hard to stock (e.g. apples)
Substitutability of factorsLabour and capital are mobile with transferable skillsResources are scarce or immobile
Barriers to entryLow barriers — new firms can enter easilyHigh barriers — difficult for new firms to enter
Legal constraintsNo restrictions on increasing productionLegal limits prevent expansion of output

The distinction between the short run and long run and its significance for PES

The short run is the time period where at least one factor of production is fixed, while in the long run all factors of production are variable.

  • In the short run, supply is often less elastic because fixed factors, such as factory size, constrain expansion.
  • In the long run, firms can build new factories, hire more workers, or adopt new technology, making supply more elastic.
Short runLong run
DefinitionTime period where some factors of production are fixedTime period where all factors of production are variable
Ability to adjust outputDifficult — fixed factors limit production changesEasy — all factors can be adjusted
PESUsually less elastic than in the long run; PES need not be below 1Usually more elastic than in the short run; PES need not exceed 1
ReasonFirms cannot quickly build new factories or hire more workersFirms can expand capacity, enter new markets, or invest in technology

Rapid recap

Mechanism: a higher price gives producers an incentive to expand, but stocks, spare capacity, factor mobility and production time determine the feasible quantity response.

Calculate and judge: PES = %ΔQs/%ΔP. More adjustment time often increases responsiveness; land, licences or specialised inputs may remain constraints.

Diagram cue: compare supply responsiveness using consistent axes and a stated point.

Related chapters: Unit 1 chapter 9 (p. 31) · Unit 1 chapter 16 (p. 80)

Enlarged diagram