Formula library

Price Elasticity of Supply

Price Elasticity of Supply
\[E_s=\frac{\frac{Q_2-Q_1}{Q_1}}{\frac{P_2-P_1}{P_1}}\]

Variables

Esprice elasticity of supply
Q1initial quantity supplied
Q2final quantity supplied
P1initial price
P2final price

Description

What is this formula?


Price Elasticity of Supply measures how responsive the quantity supplied of a good is to changes in its price.


It quantifies the percentage change in quantity supplied resulting from a one percent change in price.


When to use it


Use this formula when evaluating producer responsiveness, market flexibility, production constraints, and the effects of price changes on supply.


Example


Initial price:


P1 = 20 USD


Final price:


P2 = 24 USD


Initial quantity supplied:


Q1 = 500 units


Final quantity supplied:


Q2 = 600 units


Formula:


Es = ((Q2−Q1)/Q1)/((P2−P1)/P1)


Substitution:


Es = ((600−500)/500)/((24−20)/20)


Es = 0.20/0.20


Es = 1.0


Result:


Supply has unit elasticity. A 1% increase in price produces approximately a 1% increase in quantity supplied.


Applications


- Production planning

- Agricultural economics

- Commodity market analysis

- Industrial economics

- Supply forecasting


Note


This formula uses percentage changes relative to the initial values. Supply elasticity often differs between the short run and the long run because producers may require time to adjust production capacity.

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