Price Elasticity of Demand: Determinants and Business Applications
Price elasticity of demand (PED) measures the responsiveness of quantity demanded of a good to a change in its own price, calculated as PED = percentage change in quantity demanded / percentage change in price.
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Method
- State the PED formula: PED = percentage change in quantity demanded divided by percentage change in price, and calculate percentage changes as (change / original value) x 100 before dividing.
- Interpret the sign: PED is normally negative because price and quantity demanded move in opposite directions along a downward-sloping demand curve; state the size in absolute terms when describing elasticity.
- Interpret the size against the elastic/inelastic boundary of 1: PED greater than 1 in size is elastic, PED between 0 and 1 is inelastic, PED = 1 is unitary.
- Learn the determinants of PED: the number and closeness of substitutes, whether the good is a necessity or luxury, the proportion of income spent on the good, whether it is habit-forming or addictive, and the time period allowed to adjust.
- Link PED to total revenue: if demand is price inelastic, raising price increases total revenue; if demand is price elastic, raising price reduces total revenue, and cutting price increases it.
- Apply PED to firm pricing strategy: firms use knowledge of PED to decide whether raising or lowering price will raise revenue, and to justify price discrimination between groups of consumers with different PED.
- Apply PED to government policy: governments place indirect taxes on goods with more inelastic demand, e.g. tobacco and alcohol, partly because tax revenue raised is higher and the fall in consumption is smaller.
Worked example
The price of a cinema ticket rises from 10 pounds to 12 pounds, and weekly ticket sales fall from 4,000 to 3,600. Calculate the price elasticity of demand for cinema tickets and state whether demand is elastic or inelastic, with a reason.
- Calculate the percentage change in quantity demanded: (3,600 - 4,000) / 4,000 x 100 = -400/4,000 x 100 = -10%.
- Calculate the percentage change in price: (12 - 10) / 10 x 100 = 2/10 x 100 = 20%.
- Calculate PED: PED = percentage change in quantity demanded / percentage change in price = -10% / 20% = -0.5.
- Interpret the sign: the negative sign confirms price and quantity demanded moved in opposite directions, as expected along a normal demand curve.
- Interpret the size: since the size of PED (0.5) is less than 1, demand for cinema tickets is price inelastic over this range - quantity demanded changed proportionately less than price.
Practice questions
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Q1State the formula for price elasticity of demand.Show answer
Answer: PED = percentage change in quantity demanded / percentage change in price.
Q2Why is PED normally a negative number?Show answer
Answer: Because price and quantity demanded normally move in opposite directions along a downward-sloping demand curve.
Q3A good has a PED of -3. Is demand for this good elastic or inelastic?Show answer
Answer: Elastic, because the size of PED (3) is greater than 1, meaning quantity demanded changes proportionately more than price.
Q4Name three determinants of price elasticity of demand.Show answer
Answer: Any three of: the number/closeness of substitutes, whether the good is a necessity or luxury, the proportion of income spent on the good, whether it is habit-forming or addictive, or the time period allowed to adjust.
Q5If demand for a good is price inelastic, what happens to total revenue if the firm raises its price? Explain.Show answer
Answer: Total revenue rises, because the percentage fall in quantity demanded is smaller than the percentage rise in price, so revenue increases overall.
Q6The price of a good falls by 8% and quantity demanded rises by 20%. Calculate PED.Show answer
Answer: PED = 20% / -8% = -2.5.
Q7Explain why demand for a good with many close substitutes tends to be price elastic.Show answer
Answer: Because if its price rises, consumers can easily switch to a similar substitute good, so quantity demanded of the original good falls proportionately a lot for a given price rise.
Exam-style questions
Written in the style of a A Level Economics exam paper, with a full mark scheme.
A supermarket raises the price of a branded breakfast cereal by 10%, and weekly sales fall by 25%. Calculate the PED for this cereal and explain what this suggests about the number of substitutes available for it.
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Evaluate the usefulness of price elasticity of demand to a firm deciding whether to raise the price of one of its products.
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