Elasticity
Revise Elasticity for Economics 4EC1 (O Level) — revision notes and instant AI marking. Free to start.
Elasticity
Elasticity measures how much one thing changes when another thing changes — and once you can measure that, you can predict how buyers, sellers, and governments will actually behave.
- PED (Price Elasticity of Demand) — how responsive quantity demanded is to a change in price.
- PED values range from 0 (perfectly inelastic) to ∞ (perfectly elastic), and determine whether firms should raise or lower prices to boost revenue.
- PES (Price Elasticity of Supply) — how responsive quantity supplied is to a change in price, driven by factors like time, storage, and spare capacity.
- Primary commodities (crops, raw materials) tend to have lower PES than manufactured goods, because they're slow to produce and hard to store.
- YED (Income Elasticity of Demand) — how responsive quantity demanded is to a change in consumer income. The sign (positive/negative) tells you the type of good.
- All three elasticities matter to real decision-makers: firms setting prices, and governments designing taxes and subsidies.
1What PED Actually Means
The law of demand tells you the direction: if price goes up, quantity demanded goes down. But it doesn't tell you . That's the gap PED fills.
Think of two products: cigarettes and a specific brand of orange juice. If both go up in price by 10%, will people cut back the same amount? No — smokers are addicted, so they barely reduce their purchases. Orange juice buyers, on the other hand, can easily switch to a different brand or apple juice instead, so their quantity demanded drops a lot more. PED is the number that captures this difference in "sensitivity."
A firm raises the price of its product from $10 to $15. Sales fall from 100 to 40 units per day. Find the PED.
2Interpreting PED Values — the Full Spectrum
PED can be anywhere from 0 to infinity. Where a product sits on this scale tells you a completely different story about consumer behaviour:
| Value | Name | What's Happening | Example |
|---|---|---|---|
| 0 | Perfectly Inelastic | Quantity demanded doesn't change , no matter what price does. Purely theoretical. | A heart transplant for someone who will die without it |
| 0 → 1 | Relatively Inelastic | % change in QD is than % change in price | Addictive products (cigarettes, insulin) |
| 1 | Unitary | % change in QD exactly matches % change in price | A specific balance point on some demand curves |
| 1 → ∞ | Relatively Elastic | % change in QD is than % change in price | Luxury goods (branded holidays, designer bags) |
| ∞ | Perfectly Elastic | Any price rise at all causes QD to collapse to zero. Purely theoretical. | A firm in perfect competition selling at the market price |
3What Determines PED?
Why is one product's PED high and another's low? Four main factors:
- Availability of substitutes — lots of close substitutes → consumers can switch easily → higher PED (elastic).
- Addictiveness — addictive products behave like necessities → consumers keep buying regardless of price → lower PED (inelastic).
- Price as a proportion of income — cheap items (a chocolate bar) barely register on your budget even if the price rises → lower PED. Expensive items (a car) hurt your wallet noticeably → higher PED.
- Time period — in the , people are stuck with habits and existing contracts, so demand is inelastic. Given more , people find substitutes and adjust, so demand becomes more elastic.
4PED and Total Revenue — the Big Payoff
This is where PED stops being an abstract number and becomes a genuine business decision tool. Total Revenue = Price × Quantity. When a firm changes price, quantity moves in the opposite direction — but PED tells you which effect "wins."
Elastic demand → LOWER price to raise revenue.
Why does this work? Walk through the logic:
- If demand is elastic and you raise price, quantity demanded falls by than proportionally — you lose more in volume than you gain in price, so total revenue falls. Instead, if you cut price, quantity demanded rises by more than proportionally, and revenue rises.
- If demand is inelastic and you raise price, quantity demanded only falls a little — you gain more from the higher price per unit than you lose from slightly fewer sales, so total revenue rises.
A firm cuts price from P₁ to a lower P₂. Because demand is elastic, quantity demanded jumps from Q₁ to a much higher Q₂.
A firm raises price from P₁ to a higher P₂. Because demand is inelastic, quantity demanded only dips slightly from Q₁ to Q₂.
5Why PED Matters to Real Stakeholders
For firms: knowing PED lets a business set prices strategically — raise prices on inelastic products, cut prices (or use price discrimination) on elastic ones, all to maximise revenue.
For governments:
- They tax inelastic products (like cigarettes, fuel) because consumers keep buying almost the same amount — this raises tax revenue reliably without crushing sales, and firms can pass the tax on to consumers without losing many customers.
- They subsidise elastic products because a subsidy (which lowers price) causes a rise in demand — a small subsidy goes a long way.
1What PES Means
Same logic as PED, but flip your perspective from to . The law of supply says: price up → quantity supplied up. PES measures .
The price of avocados rises from AU$0.90 to AU$1.45. A farm shop increases weekly supply from 110 to 120 units. Find the PES.
2Interpreting PES Values
| Value | Name | What's Happening | Example |
|---|---|---|---|
| 0 | Perfectly Inelastic | QS is fixed no matter what happens to price | Seats in a specific theatre on a given night |
| 0 → 1 | Relatively Inelastic | % change in QS is smaller than % change in P | Agricultural products (crops take a season to grow) |
| 1 | Unitary | % change in QS exactly equals % change in P — true for any straight-line supply curve that starts at the origin | — |
| 1 → ∞ | Relatively Elastic | % change in QS is bigger than % change in P | Mass-produced goods like t-shirts |
| ∞ | Perfectly Elastic | Unlimited supply available at one particular price | Theoretical — a firm that can produce infinitely at a fixed cost |
3What Determines PES?
- Mobility of factors of production — if a firm can quickly redirect labour, land or machinery towards a different product, supply responds fast → elastic. A shoe factory switching from trainers to boots is easy; a wheat farmer switching to barley mid-season is not.
- Ability to store goods — storable goods (tinned food) let producers release stock the moment price rises → elastic. Perishable goods (fresh fruit) can't be stockpiled → inelastic.
- Spare capacity — if factories are running under capacity, they can ramp up output fast → elastic. If already running flat out, they can't respond → inelastic.
- Time period — in the , producers are stuck with current resources (can't grow a crop overnight) → inelastic. In the , they can build new factories, plant new crops, hire more staff → elastic.
4Primary Commodities vs Manufactured Goods
This is a classic exam comparison: why do raw materials/crops (primary commodities) almost always have lower PES than manufactured products?
| Factor | Primary Commodities | Manufactured Goods |
|---|---|---|
| Mobility of resources | Hard to switch crop/land use quickly | Factories can switch product lines relatively easily |
| Marginal cost of extra output | High — constrained by nature/growing cycles | Low — easy to add extra units to an existing production line |
| Storage | Often perishable, limited storage | Can typically be stored for longer |
| Spare capacity | Labour/land intensive, limited slack | Machine-driven, more slack available |
| Time to respond | Growing seasons, extraction time — slow | Can be manufactured relatively quickly |
Overall: Primary commodities → PES typically 0–1 (inelastic). Manufactured goods → PES typically >1 (elastic).
5Why PES Matters to Real Stakeholders
- High PES (elastic) firms respond to price rises quickly → more revenue and profit opportunity. Firms can their PES by holding spare capacity, keeping larger inventories, or investing in modern technology.
- Low PES (inelastic) firms can't respond to rising demand → shortages persist → prices keep climbing → risk of inflation.
- Governments care about PES in key markets: e.g. if housing supply is inelastic, rising demand just pushes prices up rather than getting more homes built — a major real-world policy problem. Similarly, an inelastic labour market means firms' costs rise quickly whenever they need to hire during a boom.
1What YED Means
PED and PES both look at . YED changes the variable — it asks: when consumer income changes, how does quantity demanded respond?
A consumer's income rises from £100 to £125 a week. Their bagel consumption rises from 12 to 15 a week. Find the YED.
2Interpreting YED Values — The Sign Is Everything
| Value | Type of Good | What's Happening |
|---|---|---|
| 0 → 1 (positive) | Normal Necessity | Demand rises when income rises, but less than proportionally — income inelastic (e.g. bread, basic clothing) |
| > 1 (positive) | Normal Luxury | Demand rises when income rises, and more than proportionally — income elastic (e.g. designer holidays, sports cars) |
| < 0 (negative) | Inferior Good | Demand when income rises (e.g. instant noodles, own-brand goods people trade away from as they get richer) |
Which best describes a YED of −0.7?
A. Normal necessity B. Inferior good C. Normal luxury D. Elastic
3Why YED Matters to Real Stakeholders
For businesses:
- During economic growth (rising incomes): normal-good businesses expect rising demand; inferior-good businesses expect falling demand.
- During a recession (falling incomes): inferior-good businesses can actually expect demand to .
- Knowing YED lets a business predict future sales and plan whether to expand, contract, or diversify production — protecting or maximising total revenue through the economic cycle.
For governments:
- YED helps predict how consumer spending patterns will shift with income changes — useful for reducing inequality (e.g. cutting taxes for low earners to boost their spending on necessities like healthcare and education).
- Governments may prefer to tax goods with low YED (necessities) because demand — and therefore tax revenue — stays stable even during a recession when incomes fall.
What Examiners Reward
- Showing full working for calculations — the % change formula, then the elasticity formula, then a clear final value.
- Using the correct terminology: "relatively elastic/inelastic," "unitary," "perfectly elastic/inelastic" — not vague words like "sensitive" or "flexible."
- Linking a calculated value back to a real-world reason (e.g. "PES is low because avocados take time to grow" — not just stating the number).
- For evaluation questions, considering multiple stakeholders or viewpoints (firm vs consumer vs government) rather than a one-sided answer.
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