๐ Price Elasticity of Supply
Definition: PES (Price Elasticity of Supply) tells you HOW MUCH quantity supplied changes when price changes.
The formula
PES = % change in quantity supplied รท % change in price
PES is always positive (law of supply โ price up, Qs up). Unlike PED, you do NOT need to worry about signs.
Interpreting the value
- PES > 1 โ Elastic supply โ Qs changes by MORE than price (producers can respond quickly)
- PES < 1 โ Inelastic supply โ Qs changes by LESS than price (producers struggle to respond)
- PES = 1 โ Unit elastic supply
- PES = 0 โ Perfectly inelastic โ Qs fixed regardless of price (vertical S curve)
- PES = โ โ Perfectly elastic โ any price change causes unlimited Qs change (horizontal S curve)
The key question PES answers: 'If price rises, how quickly and easily can producers increase output?' If they can increase quickly โ elastic. If not โ inelastic.
๐ PES on Diagrams
- Flatter supply curve โ MORE elastic (producers respond a lot to price changes)
- Steeper supply curve โ MORE inelastic (producers cannot easily adjust output)
- Vertical supply curve โ perfectly inelastic (fixed supply, e.g. seats in a stadium)
- Horizontal supply curve โ perfectly elastic
Why this matters for equilibrium
When demand shifts, the elasticity of supply determines HOW MUCH of the change appears in price versus quantity:
- Elastic supply + demand shifts right โ mostly QUANTITY rises, small price increase
- Inelastic supply + demand shifts right โ mostly PRICE rises, small quantity increase
Concert tickets have perfectly inelastic supply (fixed number of seats). When a popular artist announces a tour, demand surges but Qs cannot increase โ price skyrockets.
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๐งฎ Calculating PES
The calculation is identical in structure to PED โ just use quantity supplied instead of quantity demanded.
A farmer can increase wheat production from 1,000 to 1,200 tonnes when price rises from $200 to $250 per tonne. % change in Qs = (200/1000) ร 100 = 20%. % change in P = (50/200) ร 100 = 25%. PES = 20%/25% = 0.8. Supply is inelastic (PES < 1).
Show your working CLEARLY in the exam: (1) calculate % change in Qs, (2) calculate % change in P, (3) divide, (4) interpret the result (elastic or inelastic and what that means).