Monash University · FACULTY OF ECONOMICS

ECX5953 Economics

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Chapter 2 of 12 · ECX5953

Elasticity and Government Policies

The Week 2 microeconomics core of ECX5953 Economics at Monash University: how to measure the responsiveness of quantity to price with the midpoint (arc) elasticity method, and how governments reshape markets through price controls and taxes. It links elasticity to the total-revenue test, price ceilings and floors, and the incidence and deadweight loss of a per-unit tax.

This material is examined in the Mid-Semester Test (all Weeks 1-6 microeconomics) and again in the 50% final exam, where the marks reward getting the sign and direction right.

In this chapter

What this chapter covers

  • 01Price elasticity of demand and the midpoint (arc) formula
  • 02Elastic vs inelastic vs unit elastic — classify on |Ed|
  • 03Determinants of elasticity: substitutes, luxury/necessity, market definition, time horizon
  • 04The total-revenue test: TR = P x Q and which effect dominates
  • 05Price ceilings (legal maximum) and the shortage they create when binding
  • 06Price floors (legal minimum) and the surplus they create when binding
  • 07Binding vs non-binding controls relative to equilibrium P*
  • 08Per-unit tax: the wedge Pb - Ps = tax and statutory-side irrelevance
  • 09Tax incidence falls on the less elastic side of the market
  • 10Deadweight loss of a tax = 1/2 x tax x change in quantity
Worked example · free

Midpoint elasticity and the total-revenue test

Q [4 marks]. A streaming service raises its monthly price from $12 to $18, and monthly subscriptions fall from 5,000 to 3,000. (a) Use the midpoint method to find the price elasticity of demand and classify it. (b) Use the total-revenue test to predict the effect on revenue, then verify it. [4 marks]
  • +1% change in quantity (midpoint) = (3,000 - 5,000) / [(3,000 + 5,000)/2] = -2,000 / 4,000 = -0.50.
  • +1% change in price (midpoint) = (18 - 12) / [(12 + 18)/2] = 6 / 15 = +0.40.
  • +1Ed = -0.50 / 0.40 = -1.25, so |Ed| = 1.25 > 1: demand is ELASTIC.
  • +1Total-revenue test: elastic demand with a price rise predicts TR falls. Check: TR was 12 x 5,000 = $60,000, now 18 x 3,000 = $54,000 — a fall of $6,000, confirming the quantity effect dominated.
|Ed| = 1.25 (elastic); because demand is elastic, the price rise cuts total revenue from $60,000 to $54,000, a fall of $6,000.
Sia tip — The midpoint formula gives the same number whether price rises or falls. Report the signed Ed, then classify on its absolute value, and make the revenue verdict agree with the arithmetic — elastic plus a price rise must give total revenue down.
Glossary

Key terms

Price elasticity of demand (Ed)
The responsiveness of quantity demanded to a price change, measured as % change in quantity divided by % change in price. Negative by the law of demand, so it is reported as the absolute value |Ed|.
Midpoint (arc) method
Elasticity computed by dividing each change by the average of the start and end values, so the result is the same in both directions of a price change.
Elastic vs inelastic
Demand is elastic when |Ed| > 1 (quantity responds strongly, curve relatively flat) and inelastic when |Ed| < 1 (quantity barely responds, curve relatively steep); |Ed| = 1 is unit elastic.
Total-revenue test
Since TR = P x Q, a price rise raises TR when demand is inelastic (price effect wins) and lowers TR when demand is elastic (quantity effect wins); TR is at a maximum at unit elasticity.
Price ceiling
A legal maximum price. It binds only when set below the equilibrium price, producing a shortage (quantity demanded exceeds quantity supplied); above equilibrium it is non-binding.
Price floor
A legal minimum price. It binds only when set above the equilibrium price, producing a surplus (quantity supplied exceeds quantity demanded); below equilibrium it is non-binding.
Tax wedge
A per-unit tax opens a gap between the price buyers pay (Pb) and the price sellers receive (Ps), with Pb - Ps equal to the tax. The equilibrium quantity, Pb and Ps are the same regardless of who is legally taxed.
Tax incidence and deadweight loss
Incidence is the share of a tax's burden actually borne by each side; it falls more heavily on the less elastic side. The tax lowers quantity traded and creates a deadweight loss equal to 1/2 x tax x the fall in quantity.
FAQ

Elasticity and Government Policies FAQ

Do I use the absolute value of elasticity or the negative number?

Both, at the right step. Compute Ed from the midpoint formula and it comes out negative because price and quantity move in opposite directions. State that signed number, then classify on the absolute value: |Ed| > 1 is elastic, |Ed| < 1 is inelastic. Markers deduct if your classification word disagrees with your number.

Does a tax hurt buyers or sellers more?

Whichever side is less elastic. The legal side that pays the tax to the government does not matter — the equilibrium quantity, the buyer price and the seller price are identical either way. The burden splits according to relative elasticity, with the less elastic (steeper) side bearing more of it, and the tax also creates a deadweight loss equal to one-half of the tax times the fall in quantity.

Can AI help me with elasticity and government policies in ECX5953?

Yes, for understanding rather than answers. Sia can explain the concepts step by step — re-derive a midpoint elasticity with you, show why a binding price ceiling causes a shortage, or walk a tax-incidence and deadweight-loss question line by line so you can reproduce the method under exam conditions. Note the Mid-Semester Test does not permit generative AI, and no tool can promise a grade; use Sia to learn the method and check your own working.

Study strategy

Exam move

Treat this chapter as a set of direction rules to lock in, not formulas to memorise. Practise the midpoint elasticity calculation until you can do it both ways and always classify on |Ed|, then chain it into the total-revenue test. For policy, drill the three-part checks: a binding ceiling sits below equilibrium and makes a shortage, a binding floor sits above equilibrium and makes a surplus, and a per-unit tax opens a wedge (Pb - Ps = tax), shrinks quantity, and burns a deadweight loss of one-half times tax times the change in quantity — with the heavier burden on the less elastic side. This is Mid-Semester Test material (Weeks 1-6 microeconomics) and returns in the final exam, so rehearse both quick multiple-choice direction calls and full structured working. Confirm the final exam's date, duration and open- or closed-book status on Moodle.

Working through Elasticity and Government Policies in ECX5953? Sia is AskSia’s AI Economics tutor — ask any ECX5953 Elasticity and Government Policies question and get a clear, step-by-step explanation grounded in how ECX5953 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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