Study Guide

Price elasticity of supply

CIE A-Level EconomicsΒ· Unit 2: 2.3 ElasticityΒ· 15 min read

1. Definition and Calculation of PESβ˜…β˜…β˜†β˜†β˜†β± 4 min

πŸ“˜ Definition

Price Elasticity of Supply

PESPES

A measure of the sensitivity of quantity supplied of a good to a change in its own price, holding all other factors constant.

PES=%Ξ”Qs%Ξ”PPES = \frac{\% \Delta Q_s}{\% \Delta P}
πŸ“ Worked Example

When the price of wheat increases from $3 per bushel to $3.60 per bushel, weekly quantity supplied increases from 5000 bushels to 5600 bushels. Calculate PES.

  1. 1

    Step 1: Calculate percentage change in quantity supplied:

    5600βˆ’50005000Γ—100=12%\frac{5600 - 5000}{5000} \times 100 = 12\%
  2. 2

    Step 2: Calculate percentage change in price:

    3.60βˆ’3.003.00Γ—100=20%\frac{3.60 - 3.00}{3.00} \times 100 = 20\%
  3. 3

    Step 3: Substitute into the PES formula:

    PES=12%20%=0.6PES = \frac{12\%}{20\%} = 0.6

2. Interpreting PES Valuesβ˜…β˜…β˜†β˜†β˜†β± 5 min

PES is always positive, because the law of supply states that price and quantity supplied move in the same direction. The value of PES tells us how responsive supply is to price changes:

PES Value

Elasticity Category

Description

= 0

Perfectly inelastic

Quantity supplied does not change

0 < PES < 1

Inelastic

Smaller % change in Qs than P

= 1

Unit elastic

Equal % change in Qs and P

1

Elastic

Larger % change in Qs than P

= ∞

Perfectly elastic

Any quantity supplied at current price

πŸ“ Worked Example

A rare original Picasso painting is being sold at auction. What is the PES of this painting?

  1. 1

    Step 1: There is only one copy of the painting in existence, so quantity supplied is fixed no matter what price buyers offer.

  2. 2

    Step 2: The percentage change in quantity supplied is 0% for any change in price.

  3. 3

    Step 3: , so supply is perfectly inelastic.

3. Determinants of PESβ˜…β˜…β˜…β˜†β˜†β± 6 min

PES depends on how easily producers can adjust their level of output in response to a price change. The key factors are:

  • Time period: Supply is more inelastic in the short run, as producers cannot easily change output; it becomes more elastic in the long run as capacity can be adjusted.

  • Factor mobility: If factors of production can be easily switched into this market from other uses, supply is more elastic.

  • Spare capacity: If a firm has unused labour and capital, it can increase output quickly, so supply is more elastic.

  • Storability: If finished goods can be stored easily, firms can draw on inventory to increase supply when price rises, making PES more elastic.

πŸ“ Worked Example

Explain why PES is lower for fresh milk than for bottled soft drinks in the short run.

  1. 1
    1. Fresh milk is perishable and cannot be stored for long periods, so firms cannot draw on existing stocks to increase supply when price rises.
  2. 2
    1. Output of fresh milk cannot be increased quickly – it takes time to raise more dairy cows and increase production.
  3. 3
    1. Bottled soft drinks can be stored easily, and factories can increase production quickly if they have spare capacity. Therefore PES of fresh milk is lower (more inelastic) than PES of soft drinks.

4. Applications of PESβ˜…β˜…β˜…β˜†β˜†β± 5 min

PES helps predict how shifts in demand will affect equilibrium price and quantity, and who bears the burden of an indirect tax. If supply is inelastic, an increase in demand leads to a large rise in price and only a small rise in quantity. If supply is elastic, the opposite is true.

πŸ“ Worked Example

The government adds an indirect tax to cigarettes. If supply of cigarettes is elastic, will producers or consumers bear most of the tax burden?

  1. 1
    1. An indirect tax reduces the price producers receive after tax. If supply is elastic, producers are very responsive to a fall in price.
  2. 2
    1. Producers will cut output significantly, pushing the pre-tax price up. Most of the tax is passed to consumers as a higher retail price.
  3. 3
    1. If PES is higher (more elastic), a larger share of the tax burden falls on consumers, which matches this outcome.

5. Common Pitfalls

Wrong move:

Claiming PES can be a negative number

Why:

Confusing PES with price elasticity of demand, which is usually negative

Correct move:

Always remember PES is positive, because the law of supply means price and quantity supplied move in the same direction

Wrong move:

Swapping numerator and denominator in the PES formula

Why:

Mixing up percentage changes of quantity and price

Correct move:

Remember: PES (like PED) is always quantity over price: % change quantity divided by % change price

Wrong move:

Confusing determinants of PES with determinants of PED

Why:

Mixing up demand-side and supply-side factors that influence elasticity

Correct move:

Focus PES explanations on producer ability to change output, not consumer substitutes or income

Wrong move:

Claiming agricultural supply is elastic in the short run

Why:

Forgetting that crops and livestock take time to produce

Correct move:

Always note that agricultural supply is inelastic in the short run and only becomes elastic in the long run

6. Quick Reference Cheatsheet

PES Value

Type

Key Feature

PES = 0

Perfectly inelastic

Fixed quantity (e.g. rare art)

0 < PES < 1

Inelastic

Short run, perishable goods

PES = 1

Unit elastic

Supply curve through origin

PES > 1

Elastic

Long run, spare capacity, storable

PES = ∞

Perfectly elastic

Constant cost production

When this came up on past exams

AI-estimated based on syllabus patterns β€” cross-check with official past papers for accuracy. Use only as revision-focus signals.

  • 2023 Β· Paper 1

    MCQ on PES determinants

  • 2022 Β· Paper 2

    Data response on agricultural PES

  • 2021 Β· Paper 1

    MCQ on tax incidence and PES

Going deeper

What's Next

Mastering PES completes your foundation in core elasticity concepts, which are essential for all further microeconomic analysis in CIE A-Level Economics. PES is regularly tested alongside price elasticity of demand in both multiple choice and longer answer questions, and it is critical for explaining outcomes from government intervention like taxes, subsidies and price controls. You can now apply your understanding of PES to these policy topics, to build interconnected knowledge that helps you score full marks in extended response questions.