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# Elasticity

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• This slide has a ten second gap in between each example to allow the teacher to explain how the figures have been calculated. This gap can be increased or reduced as appropriate using the custom animation tool.
• This slide also has an automatic response with ten second gaps in between each point. At this stage we have tried to keep things as simple as possible but to introduce issues that will be dealt with later in the course.
• ### Elasticity

1. 1.  Topics Measurement Kinds Type Importance
2. 2.  The responsiveness of one variable to changes in another When price rises, what happens to demand? Demand falls BUT! How much does demand fall?
3. 3.  If price rises by 10% - what happens to demand? We know demand will fall By more than 10%? By less than 10%? Elasticity measures the extent to which demand will change
4. 4.  A. Absolute elasticity Qd = a – b P B. Current elasticity E = △Q/P△
5. 5. Elastic E >1Inelastic E<1Unit Elastic E=1
6. 6.  4 basic types used: Price elasticity of demand Price elasticity of supply Income elasticity of demand Cross elasticity
7. 7.  Price Elasticity of Demand  The responsiveness of demand to changes in price  Where % change in demand is greater than % change in price – elastic  Where % change in demand is less than % change in price - inelastic
8. 8. The Formula: % Change in Quantity Demanded ___________________________ Ped = % Change in Price If answer is between 0 and -1: the relationship is inelasticIf the answer is between -1 and infinity: the relationship is elasticNote: PED has – sign in front of it; because as price risesdemand falls and vice-versa (inverse relationship betweenprice and demand)
9. 9. Price (£) The demand curve can be a range of shapes each of which is associated with a different relationship between price and the quantity demanded. Quantity Demanded
10. 10. Price Total revenue is price x The importance of elasticity quantity sold. In this is the information it example,on the£5 x 100,000 provides TR = effect on = £500,000. of changes in total revenue price. This value is represented by the grey shaded rectangle. £5 Total Revenue D 100 Quantity Demanded (000s)
11. 11. ElasticityPrice If the firm decides to decrease price to (say) £3, the degree of price elasticity of the demand curve would determine the extent of the increase in demand and the change therefore in total £5 revenue. £3 Total Revenue D 100 140 Quantity Demanded (000s)
12. 12. Price (£) Producer decides to lower price to attract sales 10 % Δ Price = -50% % Δ Quantity Demanded = +20% Ped = -0.4 (Inelastic) 5 Total Revenue would fall Not a good move! D 5 6 Quantity Demanded
13. 13. Price (£) Producer decides to reduce price to increase sales % Δ in Price = - 30% % Δ in Demand = + 300% Ped = - 10 (Elastic) Total Revenue rises 10 Good Move! 7 D 5 Quantity Demanded 20
14. 14.  If demand is price  If demand is price elastic: inelastic: Increasing price  Increasing price would reduce TR (%Δ would increase TR Qd > % Δ P) (%Δ Qd < % Δ P) Reducing price would  Reducing price would increase TR reduce TR (%Δ Qd < (%Δ Qd > % Δ P) % Δ P)
15. 15.  Income Elasticity of Demand:  The responsiveness of demand to changes in incomes Normal Good – demand rises as income rises and vice versa Inferior Good – demand falls as income rises and vice versa
16. 16.  Income Elasticity of Demand: A positive sign denotes a normal good A negative sign denotes an inferior good
17. 17.  For example: Yed = - 0.6: Good is an inferior good but inelastic – a rise in income of 3% would lead to demand falling by 1.8% Yed = + 0.4: Good is a normal good but inelastic – a rise in incomes of 3% would lead to demand rising by 1.2% Yed = + 1.6: Good is a normal good and elastic – a rise in incomes of 3% would lead to demand rising by 4.8% Yed = - 2.1: Good is an inferior good and elastic – a rise in incomes of 3% would lead to a fall in demand of 6.3%
18. 18.  Cross Elasticity: The responsiveness of demand of one good to changes in the price of a related good – either a substitute or a complement % Δ Qd of good t __________________ Xed = % Δ Price of good y
19. 19.  Goods which are complements:  Cross Elasticity will have negative sign (inverse relationship between the two) Goods which are substitutes:  Cross Elasticity will have a positive sign (positive relationship between the two)
20. 20.  Price Elasticity of Supply:  The responsiveness of supply to changes in price  If Pes is inelastic - it will be difficult for suppliers to react swiftly to changes in price  If Pes is elastic – supply can react quickly to changes in price % Δ Quantity Supplied Pes = ____________________ % Δ Price
21. 21.  Time period – the longer the time under consideration the more elastic a good is likely to be Number and closeness of substitutes – the greater the number of substitutes, the more elastic The proportion of income taken up by the product – the smaller the proportion the more inelastic Luxury or Necessity - for example, addictive drugs
22. 22.  Relationship between changes in price and total revenue Importance in determining what goods to tax (tax revenue) Importance in analysing time lags in production Influences the behaviour of a firm