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Elasticities of Demand 
     ___ __Elasticity of __________: The responsiveness of ________ to a change in ______ 

 

Elasticities are used by economists to consider the size and direction of impact a particular change 
may have. 

To calculate all elasticities we must be able to calculate a percentage change 

 

 


Price Elasticity of Demand (PED) 
 
                                                                                               
 

 
                                                                                                   
 

There are many different elasticities that economists use but the most frequently used is  

 

The sign for PED will (nearly) always be               as a increase in price will lead to a fall in demand for 
that good. For this reason it is sometimes missed off (you should NOT do this). 

The value of the elasticity is significant: 

    Value      Elasticity     Significance                                               Implication 
    0 to ­1                    

                                                                                          


    ­1                         

                                                                                         . 

    ­1 to ∞                                                                               



Examples: 

A firm raises its price from £1.50 to £2. Demand falls from 150 to 120 units. Calculate the PED 

A firm reduces its price from £12 to £9. Demand rises from 1000 to 1800 units. Calculate the PED 

A firm faces a PED of ‐2 and it raises its price from £2 to £4. Calculate the change in demand 
PED and Gradient 
 
PED is NOT the same as gradient. 
Elasticity alters along the length of a demand curve 
 


                 Price/unit    10 
                                                                  ∞   =  


                                                                                            


                                5 
                                                                                                0 =  




                                                          5                         10 
                                                                                               Quantity 
                                                                                                                

 Sometimes it may look as though we alter the steepness of the curve to show a low elasticity. What 
is actually happening is that we attempting to show that the firm is operating on the elastic or 
inelastic part of the demand curve. 


         Perfectly Elastic                            Elastic                             Unitary 
    P                                    P                                  P




                                     Q                                 Q                                   Q
             Inelastic                           Perfectly Inelastic
    P                                        P




                                     Q                                  Q

                                                                                                                

                                          
Factors Affecting PED 
       
       
       
       
       
       
       
       

 

       
       
       
       
       

          Goods                              Estimated Elasticity of Demand (US)
          Inelastic

          Matches                            0.1

          Airline travel, short-run          0.1

          Gasoline, short-run                0.2

          Gasoline, long-run                 0.7

          Tobacco products, short-run        0.45

          Approximately Unitary Elasticity

          Private education                  1.1

          Tires, short-run                   0.9

          Tires, long-run                    1.2

          Radio and television receivers     1.2

          Elastic

          Restaurant meals                   2.3

          Foreign travel, long-run           4.0

          Airline travel, long-run           2.4

          Fresh green peas                   2.8

          Automobiles, short-run             1.2 - 1.5
 
 Income Elasticity of Demand (YED) 
  
                                                                                    
  

  

  
                                                                                         
 The change in income may be national, regional or restricted to a particular section of society. 

Sign     Type of         Significance                                        Example 
         Good 
+ve                                                                           

                                                                              

­ve                                                                           

          

  

 The magnitude is still important and remains the same as for PED. 

 Remember that what constitutes an inferior good will depend on social factors and level of income. 
 E.g. if you get your first pay check then you may buy a new ford Fiesta with the money. Ronaldo 
 would have to take a big cut in pay before he would buy one. 

 Engels Curves 
 Engels curves are used to show the relationship between income and demand (in the same way 
 demand curves show the relationship between price and demand)  


          Y                                             Y 




                                                    Q                                          Q
                          Normal Good                                 Inferior Good 
                                                                                                          

 Numerical Examples 

 1. Calculate YED if an increase in income from £100 to £130 leads to a fall in demand from 25 to 20 
    units. Is it normal or inferior, elastic or inelastic?  
 2. A fall in demand from 90 to 70 units is caused by a fall in income from £400 to £390. Is the good 
    normal or inferior, elastic or inelastic? 
Cross Price Elasticity of Demand (XED) 
  

                                                                                       

  

                                                                                             
  

             Type of        Significance                                         Example 
Sign         Good 
+ve                                                                               

              

­ve                                                                               

              


 The magnitude of the sign indicates the strength of relationship between the goods in the same way 
 as for PED. 

 NB The relationship does not have to be reciprocal – an increase in the price of a car may lead to a 
 large fall in demand for certain tyres but an increase in the price of tyres may have no effect on 
 the demand for the car. 

 Examples 

 1.      An increase in the price of A from £20 to £25 results in a fall in demand for B from 120 to 
         110 units.  Calculate XED and comment on the relationship between A and B. 

 2.      A decrease in the price of Y from £20 to £18 results in a fall in demand for X from 10 to 9  
         units.  Calculate XED and comment on the relationship between X and Y. 


 Problems with Elasticities 
 It is important to note that the usefulness of an elasticity relies entirely on its accuracy.   

          
          
          
          
          
          
          
          
          
          

  
 


Elasticity Practice Question 
 

Each day thousands of workers, shoppers and tourists make 
the journey between Bristol and Bath.  Public transport 
between the 2 cities comprises a railway and 2 bus companies 
(West Country Buses and Badgerline) 

 

 

 

West Country Buses are the smaller of the 2 bus companies.  It charges £2 for a single ticket, has 500 
customers and earns revenue of £1,000 per day.  

Last year it commissioned some market research which estimated that demand for its bus service 
has the following characteristics: 

PED = ‐2  

YED = ‐ 0.5 

XED with respect to the price of the rail service is = +0.5 

XED with respect to the price of a Badgerline’s service is = +1.5 

 

    1. What is meant by the term Price Elasticity of Demand                               (2 marks) 
        
    2. If West Country Buses raised their prices from £2 to £3 how many single 
        journeys would be demanded?                                                       (2 marks) 
        
    3. Explain what is meant by the term “elasticity” and discuss the usefulness  
       of the above figures to the West Country buses.                                    (15 marks) 

 

                                   
Price Elasticity of Supply (PES) 
    Price Elasticity of Supply:  

    Short Run:  

     
    Long Run:  

                                                                                                           

How much more producers will supply if the price they are offered rises. 
                                                                                          
 

 
                                                                                                  
Value       Elasticity         Significance                                                  Intercept 
0 to 1                                                                                        

                                

1                                                                                             

             

1 to ∞                                                                                        

             


PES is not the same as the gradient. 


           Perfectly Elastic                     Elastic                          Unitary 
    P                                   P                             P




                                    Q                             Q                                  Q
                  Inelastic                 Perfectly Inelastic            
     P                                  P




                                    Q                             Q
                                                                                                           
Factors Affecting PES 
 

 

 

 

The Effect of Time Period on Supply 
The shape and elasticity of the supply curve is affected by the time period under consideration. If the 
price change is very short lived the result will be very different from that produced by a longer‐lived 
change 

The Momentary Time Period 
In the momentary period                         
                                                                    P
                              and hence it is not possible 
to increase           , whatever the price offered. This 
leads to a            supply curve with an PES of  

 

 
                                                                                                Q
The Short Run 
In the short run                                    
                  (we usually assume               ) and so the 
firm will experience                                        (to    P
labour).  

This means that the firm can produce more in response to 
an increase in demand but the rising cost per unit will mean 
that the response to price changes is relatively inelastic 

                                                                                                Q

 

The Long Run 
In the long run                                      
                   (although we usually assume the state of 
technology to be constant) and so the firm will be able to         P
respond better to a change in price. It may benefit from 
                            which will further increase the 
elasticity of supply. 

It is theoretically possible that the firm could benefit from 
such large economies of scale that the supply curve could 
even slope down in the very long run. This is, however,                                         Q
unlikely and not part of the AS course 

 
 

 


End of Topic Questions on Demand, Supply and Elasticity 
Foreign Exchange Markets 
    1. How is the Exchange rate for the £ determined? Explain using a diagram                                  (8) 

Labour Market 
    2. Using a diagram show why Footballers get paid more than Nurses. (Think Demand and supply and 
       elasticity)                                                                                (8) 

Government 
    3. Show and explain why a tax on cigarettes would be less effective than a tax on Luxury holidays in 
       terms of reducing the number of customers                                                        (8) 

Short Answers 

    4. The data in the table below shows the demand and supply for digital cameras at various prices. 

             Price (£)                   Quantity demanded (millions per       Quantity supplied (millions per year)
                                                     year) 
                 16                                   140                                         20 
                 32                                   120                                         60 
                 48                                   100                                         100 
                 64                                   80                                          140 
                 80                                   60                                          180 


            a.   What would be the excess demand or supply if the price was set at £32?                        (2) 
            b.    What would be the excess demand or supply if the price was set at £80?                      (2) 
            c.    What is the equilibrium price and quantity?                                                 (2) 
            d.    If income rises and demand, as a result, rises by 20 million units at each level, what will be 
                 the new equilibrium price?                                                                    (2) 
5.  The table below gives the levels of demand and supply for a good. 

             Price (£)                     Demand ('000 per month)                Supply ('000 per month) 
                11                                     ‐                                    200 
                10                                    30                                    180 
                 9                                    60                                    160 
                 8                                    90                                    140 
                 7                                   120                                    120 
                 6                                   150                                    100 
                 5                                   180                                     80 
                 4                                   210                                     60 
                 3                                   240                                     40 
                 2                                   270                                     20 
                 1                                   300                                      ‐ 

            a. What is the equilibrium price and quantity?                                                   (2) 
            b. If the government supports a minimum price of £10, by how much does supply exceed 
               demand?                                                                                       (2) 
            c. If the government controls the price at a maximum of £3, by how much does demand 
               exceed supply?                                                                                (2) 
            d. If the government placed a subsidy of £5 per unit on this good, what would be the new 
               equilibrium price and quantity?                                                               (2) 
            e. How much would this subsidy cost the government per month?                                    (2) 

 

    6. What do each of the following measure?                                                                (4) 
          a. Price elasticity of demand 
          b. Price elasticity of supply 
          c. Income elasticity of demand 
          d. Cross‐price elasticity of demand 

 

    7. Give equations for each of the above                                                                  (4) 
         
    8.  If PED is < ‐1 then demand is ………                                                                    (2) 
         
    9. If price is increased for an elastic product total revenue will…                                      (2) 
         
    10. Cross price elasticity of demand occurs where….                                                      (2) 
         
    11. If the income elasticity of demand for a good is negative then it is said to be…..                   (2) 
         
    12.  List the factors that affect Price elasticity of demand.                                            (4) 
         
    13. List the factors that determine price elasticity of supply                                        (4)
                                                                                                   
                                                                                                  (Total 66) 

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Elasticity student workbook

  • 1. Elasticities of Demand  ___ __Elasticity of __________: The responsiveness of ________ to a change in ______    Elasticities are used by economists to consider the size and direction of impact a particular change  may have.  To calculate all elasticities we must be able to calculate a percentage change      Price Elasticity of Demand (PED)                There are many different elasticities that economists use but the most frequently used is     The sign for PED will (nearly) always be               as a increase in price will lead to a fall in demand for  that good. For this reason it is sometimes missed off (you should NOT do this).  The value of the elasticity is significant:  Value  Elasticity  Significance  Implication  0 to ­1        ­1          .  ­1 to ∞        Examples:  A firm raises its price from £1.50 to £2. Demand falls from 150 to 120 units. Calculate the PED  A firm reduces its price from £12 to £9. Demand rises from 1000 to 1800 units. Calculate the PED  A firm faces a PED of ‐2 and it raises its price from £2 to £4. Calculate the change in demand 
  • 2. PED and Gradient    PED is NOT the same as gradient.  Elasticity alters along the length of a demand curve    Price/unit  10  ∞   =       5  0 =   5  10  Quantity     Sometimes it may look as though we alter the steepness of the curve to show a low elasticity. What  is actually happening is that we attempting to show that the firm is operating on the elastic or  inelastic part of the demand curve.  Perfectly Elastic Elastic Unitary  P P P Q Q Q Inelastic  Perfectly Inelastic P P Q Q      
  • 3. Factors Affecting PED                              Goods Estimated Elasticity of Demand (US) Inelastic Matches 0.1 Airline travel, short-run 0.1 Gasoline, short-run 0.2 Gasoline, long-run 0.7 Tobacco products, short-run 0.45 Approximately Unitary Elasticity Private education 1.1 Tires, short-run 0.9 Tires, long-run 1.2 Radio and television receivers 1.2 Elastic Restaurant meals 2.3 Foreign travel, long-run 4.0 Airline travel, long-run 2.4 Fresh green peas 2.8 Automobiles, short-run 1.2 - 1.5
  • 4.   Income Elasticity of Demand (YED)                The change in income may be national, regional or restricted to a particular section of society.  Sign  Type of  Significance  Example  Good  +ve          ­ve            The magnitude is still important and remains the same as for PED.  Remember that what constitutes an inferior good will depend on social factors and level of income.  E.g. if you get your first pay check then you may buy a new ford Fiesta with the money. Ronaldo  would have to take a big cut in pay before he would buy one.  Engels Curves  Engels curves are used to show the relationship between income and demand (in the same way  demand curves show the relationship between price and demand)   Y  Y  Q Q Normal Good  Inferior Good    Numerical Examples  1. Calculate YED if an increase in income from £100 to £130 leads to a fall in demand from 25 to 20  units. Is it normal or inferior, elastic or inelastic?   2. A fall in demand from 90 to 70 units is caused by a fall in income from £400 to £390. Is the good  normal or inferior, elastic or inelastic? 
  • 5. Cross Price Elasticity of Demand (XED)                    Type of  Significance  Example  Sign  Good  +ve          ­ve          The magnitude of the sign indicates the strength of relationship between the goods in the same way  as for PED.  NB The relationship does not have to be reciprocal – an increase in the price of a car may lead to a  large fall in demand for certain tyres but an increase in the price of tyres may have no effect on  the demand for the car.  Examples  1.  An increase in the price of A from £20 to £25 results in a fall in demand for B from 120 to  110 units.  Calculate XED and comment on the relationship between A and B.  2.  A decrease in the price of Y from £20 to £18 results in a fall in demand for X from 10 to 9   units.  Calculate XED and comment on the relationship between X and Y.  Problems with Elasticities  It is important to note that the usefulness of an elasticity relies entirely on its accuracy.                         
  • 6.   Elasticity Practice Question    Each day thousands of workers, shoppers and tourists make  the journey between Bristol and Bath.  Public transport  between the 2 cities comprises a railway and 2 bus companies  (West Country Buses and Badgerline)        West Country Buses are the smaller of the 2 bus companies.  It charges £2 for a single ticket, has 500  customers and earns revenue of £1,000 per day.   Last year it commissioned some market research which estimated that demand for its bus service  has the following characteristics:  PED = ‐2   YED = ‐ 0.5  XED with respect to the price of the rail service is = +0.5  XED with respect to the price of a Badgerline’s service is = +1.5    1. What is meant by the term Price Elasticity of Demand        (2 marks)    2. If West Country Buses raised their prices from £2 to £3 how many single   journeys would be demanded?             (2 marks)    3. Explain what is meant by the term “elasticity” and discuss the usefulness   of the above figures to the West Country buses.         (15 marks)       
  • 7. Price Elasticity of Supply (PES)  Price Elasticity of Supply:   Short Run:     Long Run:     How much more producers will supply if the price they are offered rises.              Value  Elasticity  Significance  Intercept  0 to 1          1          1 to ∞          PES is not the same as the gradient.  Perfectly Elastic Elastic Unitary  P P P Q Q Q Inelastic  Perfectly Inelastic   P P Q Q  
  • 8. Factors Affecting PES          The Effect of Time Period on Supply  The shape and elasticity of the supply curve is affected by the time period under consideration. If the  price change is very short lived the result will be very different from that produced by a longer‐lived  change  The Momentary Time Period  In the momentary period         P         and hence it is not possible  to increase     , whatever the price offered. This  leads to a     supply curve with an PES of       Q The Short Run  In the short run                (we usually assume     ) and so the  firm will experience            (to  P labour).   This means that the firm can produce more in response to  an increase in demand but the rising cost per unit will mean  that the response to price changes is relatively inelastic    Q   The Long Run  In the long run                  (although we usually assume the state of  technology to be constant) and so the firm will be able to  P respond better to a change in price. It may benefit from          which will further increase the  elasticity of supply.  It is theoretically possible that the firm could benefit from  such large economies of scale that the supply curve could  even slope down in the very long run. This is, however,  Q unlikely and not part of the AS course   
  • 9.     End of Topic Questions on Demand, Supply and Elasticity  Foreign Exchange Markets  1. How is the Exchange rate for the £ determined? Explain using a diagram       (8)  Labour Market  2. Using a diagram show why Footballers get paid more than Nurses. (Think Demand and supply and  elasticity)                      (8)  Government  3. Show and explain why a tax on cigarettes would be less effective than a tax on Luxury holidays in  terms of reducing the number of customers              (8)  Short Answers  4. The data in the table below shows the demand and supply for digital cameras at various prices.  Price (£)  Quantity demanded (millions per  Quantity supplied (millions per year) year)  16  140 20  32  120 60  48  100 100  64  80 140  80  60 180  a. What would be the excess demand or supply if the price was set at £32?     (2)  b.  What would be the excess demand or supply if the price was set at £80?    (2)  c.  What is the equilibrium price and quantity?            (2)  d.  If income rises and demand, as a result, rises by 20 million units at each level, what will be  the new equilibrium price?                (2) 
  • 10. 5.  The table below gives the levels of demand and supply for a good.  Price (£)  Demand ('000 per month)  Supply ('000 per month)  11  ‐  200  10  30  180  9  60  160  8  90  140  7  120  120  6  150  100  5  180  80  4  210  60  3  240  40  2  270  20  1  300  ‐  a. What is the equilibrium price and quantity?            (2)  b. If the government supports a minimum price of £10, by how much does supply exceed  demand?                    (2)  c. If the government controls the price at a maximum of £3, by how much does demand  exceed supply?                    (2)  d. If the government placed a subsidy of £5 per unit on this good, what would be the new  equilibrium price and quantity?                (2)  e. How much would this subsidy cost the government per month?        (2)    6. What do each of the following measure?              (4)  a. Price elasticity of demand  b. Price elasticity of supply  c. Income elasticity of demand  d. Cross‐price elasticity of demand    7. Give equations for each of the above                (4)    8.  If PED is < ‐1 then demand is ………                (2)    9. If price is increased for an elastic product total revenue will…          (2)    10. Cross price elasticity of demand occurs where….             (2)    11. If the income elasticity of demand for a good is negative then it is said to be…..      (2)    12.  List the factors that affect Price elasticity of demand.            (4)    13. List the factors that determine price elasticity of supply            (4)                                               (Total 66)