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
- The responsiveness is different for different types of products
Calculation of PES
- PES can be calculated using the following formula
- To calculate a % change, use the following formula
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
Step 2: Calculate the % change in P
Step 3: Insert the above values in the PES formula
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) |
|
0→1 |
Relatively Inelastic |
The %∆ in QS is less than proportional to the %∆ in P (e.g agricultural products) |
|
1→ ∞ |
Relatively Elastic |
The %∆ in QS is more than proportional to the %∆ in P (e.g t-shirts) |
|
∞ |
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 |
|
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 |