Lecture 8
ELASTICITY
Key concepts
- Price elasticity of demand (and supply)
- Elastic and inelastic demand (and supply)
- Total revenue
- Cross elasticity of demand
- Income elasticity of demand
1. Price elasticity of demand
- Measures the responsiveness of quantity demanded to price
- Pure number; no units
- Definition:
e = [% change in quantity demanded] / [%
change in price]
% change in P = Change in P/(Avg value of P)
% change in Q = Change in Q/(Avg value of Q)
2. Shape of the demand curve
- Perfectly inelastic curve:
e=0 (medicines, salt)
- Perfectly elastic curve:
e is infinite
- Unit-elastic curve:
e=1
- Elastic curve:
e > 1 (Luxury goods; goods with close substitutes)
- Inelastic curve:
e < 1 (Necessities; goods without substitutes)
- Straight-line demand curve:
Show that e falls as Q increases.
3. Total expenditure (or Total revenue)
How does a decrease in price affect total revenue (TR)?
- If demand is elastic (e > 1):
TR increases
- If demand is inelastic (e < 1):
TR decreases
- If demand is unit-elastic (e=1):
TR remains unchanged
4. Cross elasticity of demand
- Substitutes:
Cross elasticity is positive
- Complements:
Cross elasticity is negative
5. Income elasticity of demand
6. Price elasticity of supply
How responsive is quantity supplied to a change in price?
- Elastic supply:
Flat supply curve
- Inelastic supply:
Steep supply curve
7. The burden of a sales tax
Question: Who bears the greater tax burden - the consumer or the producer?
Answer: Depends on the elasticity of demand and supply