Understanding the price elasticity of supply is crucial for analyzing how the quantity supplied of a good responds to changes in its price. The price elasticity of supply measures the responsiveness of quantity supplied to price changes, using a formula that mirrors the one used for demand elasticity, but with quantity supplied in the numerator. The formula can be expressed as:
$$E_s = \frac{\%\ \text{Change in Quantity Supplied}}{\%\ \text{Change in Price}}$$
In this context, the law of supply states that as the price of a good increases, the quantity supplied also increases, leading to a positive elasticity value. This means that the signs of the changes do not affect the calculation, as both changes will yield positive results.
To calculate the price elasticity of supply, follow these steps:
- Identify the initial and new prices and quantities supplied. For example, if the price of ice cream rises from $4 to $6 and the quantity supplied increases from 90,000 to 110,000, note these values.
- Calculate the change in quantity supplied and the change in price. Here, the change in quantity supplied is 20,000 (110,000 - 90,000) and the change in price is 2 (6 - 4).
- Find the average quantity supplied and average price. The average quantity supplied is 100,000 (90,000 + 110,000) and the average price is 5 (4 + 6).
- Calculate the percentage changes: the percentage change in quantity supplied is 0.2 (20,000 / 100,000) and the percentage change in price is 0.4 (2 / 5).
- Finally, plug these values into the elasticity formula: $$E_s = \frac{0.2}{0.4} = 0.5$$
A result of 0.5 indicates that the supply is inelastic, meaning the percentage change in quantity supplied is less than the percentage change in price. Specifically, in this case, the price increased by 40%, while the quantity supplied only increased by 20%. This relationship can be summarized as follows:
If the price elasticity of supply (Es) is greater than 1, the supply is elastic; if it is less than 1, the supply is inelastic; and if it equals 1, the supply is unit elastic. Understanding these concepts helps in predicting how suppliers will react to price changes in the market.