Price Elasticity of Supply Calculator
Print| Supply Type | - |
The Price Elasticity of Supply (PES) Calculator measures how responsively the quantity supplied of a product or service changes when its market selling price increases or decreases. Price elasticity of supply quantifies producer flexibility, revealing how quickly manufacturers can ramp up output in response to price spikes.
Calculating PES enables supply chain managers, commodity analysts, and economists to evaluate production capacity constraints, inventory flexibility, and market price stability.
Price Elasticity of Supply (PES) Formula
Price Elasticity of Supply is calculated by dividing the percentage change in quantity supplied by the percentage change in price:
PES = % Change in Quantity Supplied / % Change in Price
Standard Percentage Formula:
% Change in Quantity = [ (Q2 - Q1) / Q1 ] × 100
% Change in Price = [ (P2 - P1) / P1 ] × 100
Midpoint Arc Elasticity Formula (Ideal for large price shifts):
PES = [ (Q2 - Q1) / ((Q1 + Q2) / 2) ] / [ (P2 - P1) / ((P1 + P2) / 2) ]
PES Value & Supply Elasticity Matrix
The magnitude of the PES coefficient classifies producer supply behavior across five key economic categories:
| PES Value | Supply Classification | Producer Responsiveness & Industry Examples |
|---|---|---|
| PES = 0 | Perfectly Inelastic | Quantity supplied is completely fixed. Price changes have zero impact on supply (e.g., rare art, physical land, immediate momentary market). |
| PES < 1.0 | Inelastic Supply | Quantity changes slower than price. Driven by long production lead times, high capital costs, or tight raw material supply (e.g., agricultural crops, mining). |
| PES = 1.0 | Unit Elastic Supply | Percentage change in quantity supplied exactly equals percentage change in market price. |
| PES > 1.0 | Elastic Supply | Quantity responds rapidly to price changes. Driven by abundant spare capacity, low inventory storage costs, and flexible labor (e.g., digital goods, light manufacturing). |
| PES = ∞ | Perfectly Elastic | Producers supply unlimited quantity at a specific price, but zero at any price below. |
Step-by-Step PES Calculation Example
Consider a commercial manufacturing plant evaluating production output shifts:
- Initial Selling Price (P1): $50 → Initial Output Supplied (Q1): 1,000 units
- New Selling Price (P2): $60 → New Output Supplied (Q2): 1,400 units
Step 1: Calculate % Change in Price
[ ($60 - $50) / $50 ] × 100 = +20%
Step 2: Calculate % Change in Quantity Supplied
[ (1,400 - 1,000) / 1,000 ] × 100 = +40%
Step 3: Divide % Change in Quantity by % Change in Price
PES = +40% / +20% = +2.0
Result: Supply exhibits a PES of +2.0, confirming Elastic Supply. A 20% price increase motivates producers to expand output by 40%.
Frequently Asked Questions (FAQ)
Why is Price Elasticity of Supply always positive?
PES is almost always positive due to the Law of Supply: as market prices increase, higher profit margins incentivize producers to increase output quantity.
How does the time horizon affect Price Elasticity of Supply?
Supply elasticity increases over time. In the immediate moment (momentary period), supply is fixed (inelastic). In the short run, firms adjust overtime labor. In the long run, firms build new factories and expand production lines (elastic supply).
What key factors determine whether supply is elastic or inelastic?
Key factors include availability of spare manufacturing capacity, ease of factor substitution, inventory storage capability, raw material availability, and length of production lead times.
What is the difference between PES and Price Elasticity of Demand (PED)?
PES measures producer supply reaction to price shifts. PED measures consumer demand reaction to price shifts.