Calculation, Determinants & Significance of PES (CIE IGCSE Economics)

Revision Note

Steve Vorster

Expertise

Economics & Business Subject Lead

The Definition & Calculation of PES

  • The law of supply states that when there is an increase in price (ceteris paribus), producers will increase the quantity supplied & vice versa
    • Economists are interested in how much the quantity supplied will increase
  • Price elasticity of supply (PES) reveals how responsive the change in quantity supplied is to a change in price
    • The responsiveness is different for different types of products

Calculation of PES

  • PES can be calculated using the following formula

text PES =  end text fraction numerator percent sign space change space in space quantity space supplied over denominator percent sign space change space in space price end fraction space equals space fraction numerator percent sign triangle space in thin space QS over denominator percent sign triangle in space straight P end fraction

 

  • To calculate a % change, use the following formula

percent sign space Change space equals space fraction numerator new space value space minus space old space value over denominator old space value end fraction space cross times space 100 

Worked example

In recent months, the price of avocados has increased from £0.90 to £1.45. Bewdley Farm Shop in Wales have sought to maximise their profits by increasing the quantity supplied to market. They have been able to increase the supply of avocados from 110 units a week to 120 units a week. Calculate the PES of avocados & explain one reason for the value

Step 1:  Calculate the % change in QS

  percent sign triangle Q S space equals space fraction numerator 120 minus 110 over denominator 110 end fraction space cross times 100

percent sign triangle Q S space equals space 9.1 percent sign 


Step 2: Calculate the % change in P

percent sign triangle straight P space equals space fraction numerator 1.45 space minus space 0.90 over denominator 0.90 end fraction space straight x space 100

percent sign triangle straight P space equals space 61 percent sign


Step 3: Insert the above values in the PES formula

PE S space equals space fraction numerator percent sign triangle space in thin space Q S over denominator percent sign triangle in space straight P end fraction

PE S space equals space fraction numerator 9.1 percent sign over denominator 61 percent sign end fraction

PE S space equals space space 0.15

Step 4: Explain one reason for the value

The PES value of 0.15 indicates that avocados are very price inelastic in supply. Even with a significant increase in price, suppliers are unable to supply more likely due to the time it takes to grow additional avocados

Exam Tip

When doing elasticity calculations make sure that your final answer is not expressed as a percentage. This is a common error and loses marks.

 
Interpreting PES Values

The Values of PES Vary From 0 To Infinity (∞) & They Are Classified As Follows


Value


Name


Explanation


Diagram

0

 

Perfectly Inelastic

 

The QS is completely unresponsive to a change in P (e.g. fixed number of seats in a theatre)


2-8-1-calculation-determination-and-significance-of-pes---perfectly-inelastic

0→1

Relatively Inelastic

The % in QS is less than proportional to the %in P (e.g agricultural products)


2-8-1-calculation-determination-and-significance-of-pes---relatively-inelastic 

1→

Relatively Elastic

The % in QS is more than proportional to the % in P (e.g t-shirts)


2-8-1-calculation-determination-and-significance-of-pes----relatively-elastic 

Perfectly Elastic

The % in QS will fall to zero with any % in P. However, supply is unlimited at a particular price. This is a very theoretical scenario 


2-8-1-calculation-determination-and-significance-of-pes---perfectly-elastic 

1

Unitary Elasticity 

Any supply curve that starts at the origin (e.g. S1, S2 or S3) has a PES value equal to 1. The %∆ in P = %∆ in QS
 


2-8-1-calculation-determination-and-significance-of-pes---unitary-elasticity 

The Determinants of PES

  • Some products are more responsive to changes in prices than other products

  • The factors that determine the responsiveness are called the determinants of PES & include:
    • Mobility of the factors of production: if producers can quickly switch their resources between products, then the PES will be more elastic. For example, if prices of hiking boots increase & shoe manufacturers can switch resources from producing trainers to boots, then boots will be price elastic in supply
    • Availability of raw materials: if raw materials are scarce then PES will be low (inelastic). If they are abundant, PES will be higher (elastic)
    • Ability to store goods: if products can be easily stored then PES will be higher (elastic) as producers can quickly increase supply (for example, tinned food products). An inability to store products results in lower PES (inelastic)
    • Spare capacity: if prices increase for a product & there is capacity to produce more in the factories that make those products, then supply will be elastic. If there is no spare capacity to increase production, then supply will be inelastic
    • Time period: In the short run, producers may find it harder to respond to an increase in prices as it takes time to produce the product (e.g., avocados). However, in the long run they can change any of their factors of production so as to produce more

Exam Tip

Many students confuse PES with PED and inadvertently answer questions using knowledge from PED. When faced with PES questions, tell yourself to think like a producer (and not a consumer!) and it will help you to stay focused on providing the correct answer.

The Significance of PES for Stakeholders

  • If producers have a high PES (elastic) then they are able to respond to increases in price very quickly
    • This is desirable as it means producers can increase revenues & profits if they can supply more
    • Firms can increase their PES by:
      • Creating more spare capacity on their production lines
      • Maintaining larger inventories
      • Using more modern technology

  • If producers have a low PES (inelastic) then they are less able to respond to increases in price
    • This shortage in supply will mean that prices continue to rise, possibly causing inflation in the economy

  • Governments are very interested in the PES of key markets in the economy as they want to ensure that these markets can respond quickly to rising demand
    • One e.g is the housing market. If the PES of housing is low (inelastic), property prices will become unaffordable with any increase in demand
    • Another e.g. is the labour market. If the PES of labour is low (inelastic) then production costs of firms will rise quickly during periods of increasing demand when firms need to hire additional workers

You've read 0 of your 0 free revision notes

Get unlimited access

to absolutely everything:

  • Downloadable PDFs
  • Unlimited Revision Notes
  • Topic Questions
  • Past Papers
  • Model Answers
  • Videos (Maths and Science)

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Did this page help you?

Steve Vorster

Author: Steve Vorster

Steve has taught A Level, GCSE, IGCSE Business and Economics - as well as IBDP Economics and Business Management. He is an IBDP Examiner and IGCSE textbook author. His students regularly achieve 90-100% in their final exams. Steve has been the Assistant Head of Sixth Form for a school in Devon, and Head of Economics at the world's largest International school in Singapore. He loves to create resources which speed up student learning and are easily accessible by all.