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Welcome everyone! Today we will explore the concept known as price elasticity of supply. Can anyone tell me what they think it means?
Is it how much the quantity supplied changes when there is a price change?
Exactly! Price elasticity of supply measures the responsiveness of quantity supplied to changes in price. Now, if the quantity supplied increased significantly when prices rose, would that imply a high or low elasticity?
High elasticity, right?
That's correct! High elasticity means that suppliers are very responsive to price changes. To formulate this, we use the equation eS = % change in quantity supplied divided by % change in price. Does anyone want to try calculating the elasticity using some numbers?
Sure! If the price goes from Rs 10 to Rs 30 and the quantity supplied goes from 200 to 1000, how would I calculate that?
Good question! First, you'll work out the changes: we have and . Can anyone tell me the percentage changes now?
I think the percentage change in quantity is 400% and the percentage change in price is 200%.
Fantastic! Now using our formula, what do you think the price elasticity of supply would be?
That would be 2!
Great job! You all see how we apply the concept. Let’s summarize: price elasticity of supply measures responsiveness. It can vary based on the price and quantity relationship.
Now let’s delve into the geometric interpretation. What do you notice about different points on a straight line supply curve?
I think the elasticity varies. Some points might be more elastic than others.
Exactly! At higher prices, the elasticity can be less than 1, greater than 1, or even equal to 1. For example, if we are at point 'S' on the supply curve, we can draw a tangent to evaluate the elasticity. Does anyone remember how we calculate it geometrically?
We determine the slope of the supply curve at that point!
Correct! The elasticity at any point is given by the formula ratio of the slope of the curve multiplied by the inverse of the quantity over price. If that slope is higher, what does it indicate about elasticity?
It means it's more elastic!
Exactly! The steeper the curve, the less elastic it is. Shall we summarize the key points again?
A measure of how the quantity supplied responds to price changes, calculated as the ratio of percentage changes.
Indicates a high responsiveness of supply to price changes (e > 1).
Indicates a low responsiveness of supply to price changes (e < 1).
If the price of apples increases from $1 to $5 and the quantity supplied goes from 100 units to 400 units, the price elasticity of supply is calculated as follows: , leading to eS = 300% / 400% = 0.75, which is inelastic.
A farmer finds that for quick-growing crops, when the price increases, he can double his supply. If the price rises from $20 to $50, and he raises his output from 200 to 400, the elasticity is calculated as eS = 200% / 150% = 1.33, indicating elasticity.
When price goes up, supply can bend, in the corner of our economy's trend!
Once in a market, a baker saw cakes selling fast. When the price rose, they adapted quickly. That's elastic supply!
E-P-S = Elasticity - Price - Supply; remember it as 'E' for Elasticity, 'P' for Price, 'S' for Supply.
Remember E-S-P for 'E' in Elastic, 'S' in Supply means the quantity shifts when 'P' - the price - flips!
Term
Price Elasticity of Supply
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Term
Perfectly Elastic Supply
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Term
Unit Elastic Supply
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A measure of the responsiveness of the quantity supplied to changes in price.
Supply that responds infinitely to any price change; represented by a horizontal supply curve.
Supply that does not change regardless of price changes; represented by a vertical supply curve.
This section discusses the concept of price elasticity of supply, which measures how responsive the quantity supplied of a good is to changes in its price.
The price elasticity of supply indicates the percentage change in quantity supplied resulting from a percentage change in price. It is an important concept in understanding how firms adjust their output in response to price changes in perfectly competitive markets.
The price elasticity of supply (denoted as eS) evaluates how the quantity of a good supplied changes in response to variations in its price. Specifically, it is expressed mathematically as:
e_S = \frac{% \Delta Q}{% \Delta P} = \frac{\Delta Q/Q}{\Delta P/P} \times 100
Where:
For instance, consider the market for cricket balls. If the price rises from Rs 10 to Rs 30 and the quantity supplied increases from 200 to 1000 balls, we can calculate the price elasticity of supply. By determining the percentage changes in both price and quantity, we find that the price elasticity of supply is 2, indicating that supply is relatively responsive to price changes. If the supply curve is vertical, the elasticity is zero, indicating no responsiveness. Conversely, for a positively sloped supply curve, an increase in price results in an increase in supply, thus the elasticity is positive. The section also discusses the geometric method of determining elasticity at various points on a supply curve. Each point on a straight line supply curve will have a different elasticity value, emphasizing the importance of understanding these dynamics in market behavior.