DP Economics · HL / SL · 2. Microeconomics

2.6 Elasticity of supply

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Criterion AO1

Price Elasticity of Supply Definition

Defines price elasticity of supply (PES) as the measure of how responsive quantity supplied is to a change in price, calculated as the percentage change in quantity supplied divided by the percentage change in price. The key insight is that PES is always a positive value because price and quantity supplied move in the same direction along a supply curve. Contains: text explanation, the PES formula, a worked example, and a key-concept callout distinguishing PES from PED.

Price elasticity of supply (PES) is a measure of the degree of responsiveness of quantity supplied to a change in price. It tells us how much producers change the amount of a good or service they are willing and able to supply when the market price changes.

Because supply curves are generally upward-sloping, an increase in price is normally followed by an increase in quantity supplied. This means price and quantity supplied move in the same direction, so PES is always expressed as a positive value (unlike price elasticity of demand, which is negative because price and quantity demanded move in opposite directions).

PES=%Δ price%Δ quantity supplied​=ΔP/PΔQs​/Qs​​×100

PES is calculated by dividing the percentage change in quantity supplied by the percentage change in price.

A high PES value indicates that producers can respond quickly and substantially to a price change; a low PES value indicates that quantity supplied barely changes even if price changes significantly. The specific categories that PES values fall into -- elastic, inelastic, unit elastic, perfectly elastic and perfectly inelastic -- along with the factors that determine which category a good falls into, are covered elsewhere in this subtopic. This block focuses solely on establishing what PES measures and how it is defined and calculated.

Calculating PES for coffee

  1. Suppose the price of coffee rises by 20%.
  2. Producers respond by increasing the quantity of coffee they supply by 40%.
  3. Apply the formula: PES=%ΔP%ΔQs​​=20%40%​=2.
  4. A PES value of 2 tells us that quantity supplied changed proportionally more than price -- producers were quite responsive to the price change.
Key concept

PES and price elasticity of demand (PED) share a similar formula structure, but they measure entirely different behaviours: PED measures how responsive consumers are, while PES measures how responsive producers are. Do not assume the same numerical value or the same underlying determinants apply to both sides of the market for a given good.

Cheatsheet
  • PES = % change in quantity supplied ÷ % change in price
  • PES is always positive because price and quantity supplied move in the same direction along the supply curve
  • A PES of 2 means quantity supplied changes twice as much (proportionally) as price
  • PES measures producer responsiveness, distinct from PED which measures consumer responsiveness
Example questions
Define the term 'price elasticity of supply'.
DefineCriterion AO1
Outline why price elasticity of supply is always expressed as a positive value.
OutlineCriterion AO1
Describe how price elasticity of supply is calculated.
DescribeCriterion AO1
Criterion AO1Criterion AO4

PES Formula

States and explains the formula for price elasticity of supply (PES) as the percentage change in quantity supplied divided by the percentage change in price, and clarifies why PES is always a positive value. Contains the core formula, a worked calculation, and a common-mistake callout distinguishing PES's sign from PED's negative sign.

Price elasticity of supply (PES) measures how responsive quantity supplied is to a change in price. It tells producers, businesses and policymakers how much sellers will adjust output when the market price rises or falls.

PES=% ΔPrice% ΔQuantity Supplied​

The basic PES formula: percentage change in quantity supplied divided by percentage change in price.

PES=ΔP/PΔQs​/Qs​​×100

Expanded form of the PES formula, showing each percentage change calculated as (change in variable ÷ original value) × 100.

Key concept

PES is always a positive value. This is because price and quantity supplied have a direct (positive) relationship: as price rises, firms supply more, and as price falls, they supply less. Both the numerator and denominator of the formula move in the same direction, so their ratio is always positive. This is different from price elasticity of demand (PED), which is negative because price and quantity demanded move in opposite directions.

Calculating PES for coffee

  1. The price of coffee increases by 20%.
  2. In response, producers increase the quantity of coffee supplied by 40%.
  3. Apply the formula: PES = %ΔQs ÷ %ΔP = 40% ÷ 20% = 2.
  4. Since PES = 2, which is greater than 1, supply is elastic: producers are highly responsive to the price change.
  5. Note the result is positive, confirming the expected direct relationship between price and quantity supplied.
Common mistake

Common mistake: Do not write PES as a negative number, even if a question describes a price fall leading to a fall in quantity supplied. Because both percentage changes are negative in that case, dividing a negative by a negative still gives a positive PES value.

Cheatsheet
  • PES = % change in quantity supplied ÷ % change in price
  • Expanded formula: PES = (ΔQs/Qs) ÷ (ΔP/P) × 100
  • PES is always positive because price and quantity supplied move in the same direction
  • This positive sign distinguishes PES from PED, which is negative
  • Example: a 20% price rise causing a 40% rise in quantity supplied gives PES = 2 (elastic)
Example questions
State the formula for price elasticity of supply.
StateCriterion AO1
Describe why the value of price elasticity of supply is always positive.
DescribeCriterion AO1
Calculate the price elasticity of supply if a 10% rise in price leads producers to increase quantity supplied by 25%, and comment on your result.
CalculateCriterion AO4
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14 more sections in this topic

← Previous topic2.5 Elasticities of demandNext topic →2.7 Role of government in microeconomics
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