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Elasticity

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Edexcel IGCSE Economics

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.

Summary — What This Chapter Covers
  • 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.
1. Price Elasticity of Demand (PED)

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."

Formula
PED = (% change in quantity demanded) ÷ (% change in price)
In words: "For every 1% the price moves, how many % does quantity demanded move in response?"
The % Change Formula (you'll use this constantly)
% Change = [(new value − old value) ÷ old value] × 100
Worked Example

A firm raises the price of its product from $10 to $15. Sales fall from 100 to 40 units per day. Find the PED.

Step 1 — % change in quantity demanded: (40−100)/100 × 100 = −60%
Step 2 — % change in price: (15−10)/10 × 100 = 50%
Step 3 — Divide: PED = −60 ÷ 50 = −1.2
Step 4 — Drop the sign: PED will come out negative (price up → quantity down, or vice versa) — that's just the law of demand doing its job. Economists ignore the minus sign and just report the size: PED = 1.2
Why ignore the sign?
The negative sign doesn't tell you anything new — it's baked into the law of demand. What actually matters for decision-making is the size of the number: is 1.2 a big response or a small one? Stripping the sign lets you compare products directly.
Practice Question
A bakery increases the price of croissants from £2.00 to £2.20. Quantity demanded falls from 500 to 460 per day. Calculate 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:

ValueNameWhat's HappeningExample
0Perfectly InelasticQuantity demanded doesn't change , no matter what price does. Purely theoretical.A heart transplant for someone who will die without it
0 → 1Relatively Inelastic% change in QD is than % change in priceAddictive products (cigarettes, insulin)
1Unitary% change in QD exactly matches % change in priceA specific balance point on some demand curves
1 → ∞Relatively Elastic% change in QD is than % change in priceLuxury goods (branded holidays, designer bags)
Perfectly ElasticAny price rise at all causes QD to collapse to zero. Purely theoretical.A firm in perfect competition selling at the market price
Visualise it
Picture the demand curve's steepness. A steep, near-vertical curve = inelastic (price can swing a lot, quantity barely moves). A flat, near-horizontal curve = elastic (a tiny price change causes a huge swing in quantity).

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.
Practice Question
Explain, using one determinant of PED, why the demand for a specific brand of salt is likely to be price 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."

The Total Revenue Rule
Inelastic demand → RAISE price to raise revenue.
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.
Worked Example — Elastic Case

A firm cuts price from P₁ to a lower P₂. Because demand is elastic, quantity demanded jumps from Q₁ to a much higher Q₂.

Compare: (P₂ × Q₂) turns out greater than (P₁ × Q₁) — the small drop in price per unit is more than made up for by the surge in units sold. Revenue rises.
Worked Example — Inelastic Case

A firm raises price from P₁ to a higher P₂. Because demand is inelastic, quantity demanded only dips slightly from Q₁ to Q₂.

Compare: (P₂ × Q₂) turns out greater than (P₁ × Q₁) — this time it's the higher price per unit doing the work, since so few customers walked away. Revenue rises.
Common Mistake
Students often think "inelastic demand means quantity doesn't fall when price rises." Wrong — it still falls, just less than proportionally. E.g. when governments tax cigarettes, price rises more (in %) than quantity demanded falls, but quantity demanded still falls somewhat.
Practice Question
A firm sells a product with PED = 2.5. Using the total revenue rule, should it raise or lower its price to increase revenue? Explain your reasoning.

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.
Exam Angle
If asked to evaluate whether PED is useful for tax decisions, remember to weigh it from multiple viewpoints: it helps predict revenue, but real elasticity estimates are uncertain, can change over time, and taxing inelastic "demerit" goods can be seen as regressive (hits low-income consumers hardest).
2. Price Elasticity of Supply (PES)

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 .

Formula
PES = (% change in quantity supplied) ÷ (% change in price)
Worked Example

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.

Step 1 — % change in QS: (120−110)/110 × 100 = 9.1%
Step 2 — % change in P: (1.45−0.90)/0.90 × 100 = 61%
Step 3 — Divide: PES = 9.1 ÷ 61 = 0.15
Step 4 — Interpret: 0.15 is very low → avocados are very price inelastic in supply. Even a massive 61% price jump barely nudges supply, because avocado trees take time to grow more fruit — the constraint is biological, not a lack of willingness to sell.
Note
Unlike PED, PES is always positive — price and quantity supplied move in the direction, so there's no sign to strip out.
Practice Question
A furniture factory increases the price of chairs from $40 to $50. In response, weekly supply rises from 200 to 260 chairs. Calculate the PES and classify it.

2Interpreting PES Values

ValueNameWhat's HappeningExample
0Perfectly InelasticQS is fixed no matter what happens to priceSeats in a specific theatre on a given night
0 → 1Relatively Inelastic% change in QS is smaller than % change in PAgricultural products (crops take a season to grow)
1Unitary% 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 PMass-produced goods like t-shirts
Perfectly ElasticUnlimited supply available at one particular priceTheoretical — 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?

FactorPrimary CommoditiesManufactured Goods
Mobility of resourcesHard to switch crop/land use quicklyFactories can switch product lines relatively easily
Marginal cost of extra outputHigh — constrained by nature/growing cyclesLow — easy to add extra units to an existing production line
StorageOften perishable, limited storageCan typically be stored for longer
Spare capacityLabour/land intensive, limited slackMachine-driven, more slack available
Time to respondGrowing seasons, extraction time — slowCan be manufactured relatively quickly

Overall: Primary commodities → PES typically 0–1 (inelastic). Manufactured goods → PES typically >1 (elastic).

Practice Question
Using two factors, explain why the PES of wheat is likely to be lower than the PES of bicycles.

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.
Exam Tip
Students often accidentally use PED logic when answering PES questions. When you see "PES," force yourself to think like a producer, not a consumer — the whole story is about factories, farms, and factors of production, not household budgets and substitute goods.
3. Income Elasticity of Demand (YED)

1What YED Means

PED and PES both look at . YED changes the variable — it asks: when consumer income changes, how does quantity demanded respond?

Formula
YED = (% change in quantity demanded) ÷ (% change in income)
Worked Example

A consumer's income rises from £100 to £125 a week. Their bagel consumption rises from 12 to 15 a week. Find the YED.

Step 1 — % change in QD: (15−12)/12 × 100 = 25%
Step 2 — % change in income: (125−100)/100 × 100 = 25%
Step 3 — Divide: YED = 25 ÷ 25 = 1
Step 4 — Interpret: YED = 1 means demand for bagels rose in to income — a case of unitary income elasticity.
Critical Difference From PED/PES
For YED, you keep the sign — do NOT drop it like you do with PED! The sign (+/−) is the whole point: it tells you what of good you're looking at.

2Interpreting YED Values — The Sign Is Everything

ValueType of GoodWhat's Happening
0 → 1 (positive)Normal NecessityDemand rises when income rises, but less than proportionally — income inelastic (e.g. bread, basic clothing)
> 1 (positive)Normal LuxuryDemand rises when income rises, and more than proportionally — income elastic (e.g. designer holidays, sports cars)
< 0 (negative)Inferior GoodDemand when income rises (e.g. instant noodles, own-brand goods people trade away from as they get richer)
Worked Example — Multiple Choice

Which best describes a YED of −0.7?

A. Normal necessity   B. Inferior good   C. Normal luxury   D. Elastic

Answer: B — Inferior good. The negative sign is the giveaway: whenever YED is negative, demand moves opposite to income — meaning as consumers get richer, they buy of this good (they trade up to better alternatives).
Practice Question
A consumer's income falls from £400 to £350 a week. Their demand for supermarket own-brand pasta rises from 4 to 5 packs a week. Calculate the YED and classify the good.

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 to Memorise
PED
% change in QD ÷ % change in price. Always report as a positive number.
PES
% change in QS ÷ % change in price. Already positive — no sign to drop.
YED
% change in QD ÷ % change in income. KEEP the sign — it defines the good type.
% Change formula
(new value − old value) ÷ old value × 100
Total Revenue Rule
Inelastic → raise price to raise revenue. Elastic → lower price to raise revenue.
PED < 1
Relatively inelastic (necessities, addictive goods, few substitutes)
PED > 1
Relatively elastic (luxuries, many substitutes, big % of income)
PES determinants
Mobility of factors, ability to store, spare capacity, time period
Primary commodities
Low PES (0–1) — slow to grow/extract, hard to store, little spare capacity
Manufactured goods
Higher PES (>1) — quick to produce, storable, flexible factories
YED > 0
Normal good (necessity if 0–1, luxury if >1)
YED < 0
Inferior good — demand falls as income rises
Concepts Checklist
Exam Tips & Common Traps
Trap 1 — Forgetting to convert to a % change first
Never plug raw numbers straight into the elasticity formula. Always calculate % change in quantity and % change in price/income separately first, then divide. Skipping this step is the #1 cause of wrong answers.
Trap 2 — Expressing the final answer as a percentage
Your final PED/PES/YED value is a plain number (e.g. 1.2, 0.15, −2), never written with a % sign. The percentages cancel out in the division.
Trap 3 — Dropping the sign on YED
You drop the sign for PED (it's always negative anyway, so it adds no information). But for YED, the sign is the entire answer to "what type of good is this?" Never strip it.
Trap 4 — Thinking "inelastic" means "no change"
Inelastic demand/supply still changes — just by a smaller percentage than the price change that caused it. Examiners specifically test this misconception with tax questions on demerit goods.
Trap 5 — Mixing up PED and PES logic
If a question is about PES, think like a producer (factories, storage, spare capacity). If it's about PED, think like a consumer (substitutes, addiction, budget share). Confusing the two loses easy marks.

 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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