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Price Elasticity of Supply Calculator

Calculate price elasticity of supply (PES) using prices and quantities or percentage changes.

Supply inputs

$
$

Price elasticity of supply (PES)

1.4286

Elastic Supply (Es > 1) • |Es| = 1.43

Supply classification

Elastic Supply (Es > 1)

Quantity supplied responds more than proportionally to price

% change in quantity supplied

+57.14%

% change in price

+40.00%

Calculation summary

Input modePrices and quantities
Formula methodMidpoint arc
Elasticity magnitude |Es|1.4286

How price elasticity of supply is calculated

Step-by-step breakdown using your supply and price inputs.

  1. Step 1: Midpoint percentage change in quantity supplied

    %ΔQs=Q2−Q1(Q1+Q2)/2×100%=180−100(100+180)/2=57.143%\% \Delta Q_s = \frac{Q_2 - Q_1}{(Q_1 + Q_2) / 2} \times 100\% = \frac{180 - 100}{(100 + 180) / 2} = 57.143\%

    Average quantity supplied is 140.00 units.

  2. Step 2: Midpoint percentage change in price

    %ΔP=P2−P1(P1+P2)/2×100%=15−10(10+15)/2=40.000%\% \Delta P = \frac{P_2 - P_1}{(P_1 + P_2) / 2} \times 100\% = \frac{15 - 10}{(10 + 15) / 2} = 40.000\%

    Average price is $12.50.

  3. Step 3: Divide quantity change by price change

    PES=%ΔQs%ΔP=57.143%40.000%=1.4286\mathrm{PES} = \frac{\% \Delta Q_s}{\% \Delta P} = \frac{57.143\%}{40.000\%} = 1.4286

    Elastic Supply (Es > 1). Quantity supplied responds more than proportionally to price.

Report tool

Understanding Price Elasticity of Supply (PES)

Price elasticity of supply measures how responsive quantity supplied is to a change in market price. It helps producers, commodity traders, and policy analysts estimate how much output will expand or contract after a price move.

A PES of 1.43 means that a 1% price increase is associated with roughly a 1.43% increase in quantity supplied. Compare seller responsiveness with buyer responsiveness using our price elasticity of demand calculator, or study how one product's demand reacts to another product's price with our cross-price elasticity calculator.

Formulas and calculation methods

Price elasticity of supply uses the same mathematical structure as demand elasticity, but with quantity supplied in the numerator. Supply elasticity is typically positive because price and quantity supplied usually move in the same direction.

Midpoint (arc) elasticity

PES=Q2−Q1(Q1+Q2)/2P2−P1(P1+P2)/2\mathrm{PES} = \frac{\frac{Q_2 - Q_1}{(Q_1 + Q_2) / 2}}{\frac{P_2 - P_1}{(P_1 + P_2) / 2}}

Percentage change elasticity

PES=Q2−Q1Q1P2−P1P1\mathrm{PES} = \frac{\frac{Q_2 - Q_1}{Q_1}}{\frac{P_2 - P_1}{P_1}}

Worked example

Suppose a market moves from price $10 and quantity supplied 100 units to price $15 and quantity supplied 180 units.

  1. Midpoint %ΔQ = (180 - 100) / 140 = 57.14%
  2. Midpoint %ΔP = (15 - 10) / 12.5 = 40.00%
  3. PES = 57.14% / 40.00% = 1.43 (elastic supply)

Because PES is greater than 1, producers expanded output more than proportionally to the price increase. This pattern is common when capacity can be added quickly and input costs do not rise at the same pace as price.

Interpreting elasticity values

  • Es > 1: Elastic supply. Quantity supplied responds more than proportionally to price.
  • Es = 1: Unit elastic supply. Quantity and price change in equal proportion.
  • 0 < Es < 1: Inelastic supply. Quantity responds less than proportionally to price.
  • Es = 0: Perfectly inelastic supply. Quantity supplied is fixed regardless of price.

Practical business uses

Farmers and commodity traders use PES to estimate how harvest size or export demand will move spot prices. Manufacturers evaluate whether a sustained price increase can be met with higher output without severe cost inflation. Tax analysts model how excise or subsidy changes affect production volumes. For pricing decisions on the demand side, our optimal price calculator can help estimate profit-maximizing price points when cost and demand curves are known.

Frequently asked questions

What does a positive price elasticity of supply mean?
Price elasticity of supply is usually positive because producers tend to supply more when price rises and less when price falls. A coefficient of 1.5 means that a 1% price increase is associated with roughly a 1.5% increase in quantity supplied, holding other factors constant.
Why is supply often more elastic in the long run?
In the short run, producers may be constrained by fixed capacity, existing contracts, or slow production cycles. Over time, firms can expand plants, hire workers, enter new markets, or switch product lines, so quantity supplied becomes more responsive to price.
What is the difference between midpoint and percentage supply elasticity?
The percentage method uses initial price and quantity as the base. The midpoint method uses the average of the two observed points. Arc elasticity is symmetric: moving from $10 to $15 gives the same coefficient as moving from $15 to $10, which is useful when analyzing two market observations.
What industries tend to have elastic supply?
Industries with flexible production, abundant inputs, and low setup costs often have elastic supply. Examples include many manufactured goods, software services with scalable infrastructure, and agricultural products after a full growing season.
What industries tend to have inelastic supply?
Supply is often inelastic when production takes a long time, uses specialized resources, or faces regulatory bottlenecks. Examples include prime urban real estate, rare minerals, vintage wine, and oil production in the very short run.
How does supply elasticity affect market prices?
When supply is inelastic, a demand shock can cause a large price swing with only a small change in quantity supplied. When supply is elastic, the same demand shock mainly changes quantity supplied while price moves less. Market outcomes depend on both demand elasticity and supply elasticity.
Can I enter percentage changes directly?
Yes. If you already know the percentage change in quantity supplied and the percentage change in price from a report or regression, switch to direct percentage mode and divide %ΔQ by %ΔP. This is equivalent to the standard point formula when the percentages are measured from the same base.

Resources and references

The formulas and methods in this calculator were checked against these independent sources.