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The Elasticity of Demand
Current events
• Page 11. Technology metals…
The Concept of Elasticity
• Elasticity is a measure of the
  responsiveness of one variable to another.
• The greater the elasticity, the greater the
  responsiveness.
Laughter Curve
Q. What’s the difference between an
   economist and a befuddled old man with
   Alzheimer’s?
A. The economist is the one with a
   calculator.
The Concept of Elasticity
• Elasticity is a measure of the
  responsiveness of one variable to another.
• The greater the elasticity, the greater the
  responsiveness.
Price Elasticity
• The price elasticity of demand is the
  percentage change in quantity demanded
  divided by the percentage change in price.


     Percentage change in quantity demanded
ED =
            Percentage change in price
Sign of Price Elasticity
• According to the law of demand, whenever
  the price rises, the quantity demanded
  falls. Thus the price elasticity of
  demand is always negative.

• Because it is always negative, economists
  usually state the value without the sign.
What Information Price
       Elasticity Provides
• Price elasticity of demand and supply
  gives the exact quantity response to a
  change in price.
Classifying Demand and Supply
     as Elastic or Inelastic
• Demand is elastic if the percentage
  change in quantity is greater than the
  percentage change in price.

                   E>1
Classifying Demand and Supply
     as Elastic or Inelastic
• Demand is inelastic if the percentage
  change in quantity is less than the
  percentage change in price.


                    E<1
Elastic Demand
• Elastic Demand means that quantity
  changes by a greater percentage than the
  percentage change in price.
Inelastic Demand
• Inelastic Demand means that quantity
  doesn't change much with a change in
  price.
Defining elasticities
• When price elasticity is between zero and
  -1 we say demand is inelastic.
• When price elasticity is between -1 and
  - infinity, we say demand is elastic.
• When price elasticity is -1, we say demand
  is unit elastic.
Elasticity Is Independent of
                Units
• Percentages allow us to have a measure
  of responsiveness that is independent of
  units.
• This makes comparisons of
  responsiveness of different goods easier.
Calculating Elasticities
• To determine elasticity divide the
  percentage change in quantity by the
  percentage change in price.
The End-Point Problem
• The end-point problem – the percentage
  change differs depending on whether you
  view the change as a rise or a decline in
  price.
The End-Point Problem
• Economists use the average of the end
  points to calculate the percentage change.


                     (Q2 - Q1)
                                    ½ Q2 Q1
      Elasticity = (P   2   - P1)
                                    ½ P1 + P2
Graphs of Elasticities
               B
$26
 24                   C (midpoint)
 22                          A
 20
 18
                                       D
 16
 14                              Elasticity of demand
                                 between A and B = 1.27
  0            10    12      14
  Quantity of software (in hundred thousands)
Calculating Elasticities: Price
              elasticity of Demand

      P        What is the price elasticity of
               demand between A and B?
                                               Q2–Q1
                                       %ΔQ   ½(Q2+Q1)
           B
                                 ED = %ΔP =    P2–P1
$26                 Midpoint
               C                             ½(P2+P1)
$23
$20                A                 10–14
                                    ½(10+14) -.33
                                 = 26–20 = .26 = 1.27
                               D    ½(26+20)
                                  Q
           10 12 14
                                                    7-19
Price Elasticity: Supply
• Price elasticity of supply is the
  percentage change in quantity supplied
  divided by the percentage change in
          ES =     % change in Quantity Supplied
                        % change in Price
• This tells us exactly how quantity supplied responds to
  a change in price
• Elasticity is independent of units



                                                            7-20
Price Elasticity: Supply
• Supply is elastic if the percentage
  change in quantity is greater than the
  percentagesupply is whenprice1
       Elastic change in ES >

• Supply is inelastic if the percentage change in quantity
  is less than the percentage change in price

          Inelastic supply is when ES < 1




                                                             7-21
Graphs of Elasticities

$6.00
 5.50
 5.00                                       B
 4.50                                     C (midpoint)
                                      A
 4.00
 3.50    Elasticity of supply
 3.00    between A and B = 0.18

   0
                                   470 480 490
                  Quantity of workers
Calculating Elasticity

                  Q2     Q1
                1
      % Q       2 (Q 1   Q2 )
E
      % P          P2    P1
                 1
                 2 (P1   P2 )
Calculating Elasticity of Demand
      Between Two Points
                     Elasticity of demand           % Q
                                                E
$26                  between A and B:               % P
              B
24                                        10    14       4
                                        1
22     midpoint      C                  2 (14    10)   12     .33
                                  ED                                1.27
20                                        26    20      6    .26
                             A          1
                                        2 (26    20)   23
18
16                                Demand
14


  0
                10      12       14
      Quantity of software (in hundred thousands)
Calculating Elasticity of Supply
    Between Two Points
$6.00
 5.50                              Elasticity of supply
 5.00                         B    between A and B: E          % Q
 4.50                     C                                    % P
                      A
 4.00                                    485 475         10
 3.50                                  1
                                       2 ( 485   475)   480    .021
                                  ES                                  .2
 3.00                                      5 4.50       .50    .105
                                         1
                                         2 (5  4.50)    4.75

   0
                  470 480 490
        Quantity of workers
Calculating Elasticity at a Point
• Let us now turn to a method of calculating
  the elasticity at a specific point, rather than
  over a range or an arc.
Calculating Elasticity at a Point
• To calculate elasticity at a point, determine
  a range around that point and calculate
  the arc elasticity.
Calculating Elasticity at a Point

 $10                   (28 - 20)
   9                              ½ 28 20
   8      E at A   =
                           (5 - 3)
                                               0.66
   7
   6                               ½ 5+3
                       C
   5
                           A
   4
                               B
   3
   2
   1
                   20 24 28          40     Quantity
Calculating Elasticity at a Point

         To calculate elasticity at a point determine
$10      a range around that point and calculate
  9      the arc elasticity.
  8
  7                                    28     20         8
  6                                  1
                   C                 2 (28     20)      24   .33
  5                        E at A                                  .66
                       A                 5    3          2    .5
  4
                           B           1
                                       2 (5    3)        4
  3
  2
  1
               20 24 28             40
        Quantity
Elasticity and Demand Curves
• Two important points to consider:
  – Elasticity is related (but is not the same as)
    slope.
  – Elasticity changes along straight-line demand
    and supply curves.
Calculating Elasticity at a Point

$10   Demand
  9                                      Supply
  8                EA = 2.33
               A
  7
  6
                                  D
  5                                   ED = 0.86
  4
  3                  C E = 0.75         EB = 0.11
  2                     C
                                           B
  1
      6   12 18 24 30 36 42 48 54 60 Quantity
Elasticity and Demand Curves
• Two important points to consider:
  – Elasticity is related (but is not the same as)
    slope.
  – Elasticity changes along straight-line demand
    and supply curves.
Elasticity Is Not the Same as
               Slope
• The steeper the curve at a given point, the
  less elastic is supply or demand.
• There are two limiting examples of this.
Elasticity Is Not the Same as
               Slope
• When the curves are flat, we call the
  curves perfectly elastic.

• The quantity changes enormously in
  response to a proportional change in price
  (E = ).
Elasticity Is Not the Same as
               Slope
• When the curves are vertical, we call the
  curves perfectly inelastic.

• The quantity does not change at all in
  response to an enormous proportional
  change in price (E = 0).
Perfectly Inelastic Demand
           Curve

                  Perfectly inelastic
                  demand curve




 0
       Quantity
Perfectly Elastic Demand Curve




                    Perfectly elastic
                    demand curve



   0
         Quantity
Demand Curve
             Shapes and Elasticity
• Perfectly Elastic Demand Curve
   – The demand curve is horizontal, any change in price can and
     will cause consumers to change their consumption.

• Perfectly Inelastic Demand Curve
   – The demand curve is vertical, the quantity demanded is totally
     unresponsive to the price. Changes in price have no effect on
     consumer demand.

• In between the two extreme shapes of demand curves
  are the demand curves for most products.
Demand Curve
Shapes and Elasticity
Elasticity Changes Along
       Straight-Line Curves
• Elasticity is not the same as slope.
• Elasticity changes along straight line
  supply and demand curves–slope does
  not.
Elasticity Along a Demand Curve
            Ed = ∞
                                    Elasticity declines along
   $10                            demand curve as we move
     9                              toward the quantity axis
     8               Ed > 1
     7
     6
Price




                                  Ed = 1
     5
     4
     3                                         Ed < 1
     2
     1                                                  Ed = 0
        0    1   2   3   4    5     6      7   8   9 10 Quantity
The Price Elasticity of Demand Along a
     Straight-line Demand Curve
Substitution and Elasticity
• As a general rule, the more substitutes a
  good has, the more elastic is its supply
  and demand.
Substitution and Demand
• The less a good is a necessity, the more
  elastic its demand curve.

• Necessities tend to have fewer substitutes
  than do luxuries.
Substitution and Demand
• Demand for goods that represent a large
  proportion of one's budget are more elastic
  than demand for goods that represent a
  small proportion of one's budget.
Substitution and Demand
• Goods that cost very little relative to your
  total expenditures are not worth spending
  a lot of time figuring out if there is a good
  substitute.

• It is worth spending a lot of time looking for
  substitutes for goods that take a large
  portion of one’s income.
Substitution and Demand
• The larger the time interval considered, or
  the longer the run, the more elastic is the
  good’s demand curve.
  – There are more substitutes in the long run
    than in the short run.
  – The long run provides more options for
    change.
Determinants of the
      Price Elasticity of Demand
• The degree to which the price elasticity of
  demand is inelastic or elastic depends on:
  – How many substitutes there are
  – How well a substitute can replace the good or
    service under consideration
  – The importance of the product in the
    consumer’s total budget
  – The time period under consideration

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Elasticity of demand

  • 2. Current events • Page 11. Technology metals…
  • 3. The Concept of Elasticity • Elasticity is a measure of the responsiveness of one variable to another. • The greater the elasticity, the greater the responsiveness.
  • 4. Laughter Curve Q. What’s the difference between an economist and a befuddled old man with Alzheimer’s? A. The economist is the one with a calculator.
  • 5. The Concept of Elasticity • Elasticity is a measure of the responsiveness of one variable to another. • The greater the elasticity, the greater the responsiveness.
  • 6. Price Elasticity • The price elasticity of demand is the percentage change in quantity demanded divided by the percentage change in price. Percentage change in quantity demanded ED = Percentage change in price
  • 7. Sign of Price Elasticity • According to the law of demand, whenever the price rises, the quantity demanded falls. Thus the price elasticity of demand is always negative. • Because it is always negative, economists usually state the value without the sign.
  • 8. What Information Price Elasticity Provides • Price elasticity of demand and supply gives the exact quantity response to a change in price.
  • 9. Classifying Demand and Supply as Elastic or Inelastic • Demand is elastic if the percentage change in quantity is greater than the percentage change in price. E>1
  • 10. Classifying Demand and Supply as Elastic or Inelastic • Demand is inelastic if the percentage change in quantity is less than the percentage change in price. E<1
  • 11. Elastic Demand • Elastic Demand means that quantity changes by a greater percentage than the percentage change in price.
  • 12. Inelastic Demand • Inelastic Demand means that quantity doesn't change much with a change in price.
  • 13. Defining elasticities • When price elasticity is between zero and -1 we say demand is inelastic. • When price elasticity is between -1 and - infinity, we say demand is elastic. • When price elasticity is -1, we say demand is unit elastic.
  • 14. Elasticity Is Independent of Units • Percentages allow us to have a measure of responsiveness that is independent of units. • This makes comparisons of responsiveness of different goods easier.
  • 15. Calculating Elasticities • To determine elasticity divide the percentage change in quantity by the percentage change in price.
  • 16. The End-Point Problem • The end-point problem – the percentage change differs depending on whether you view the change as a rise or a decline in price.
  • 17. The End-Point Problem • Economists use the average of the end points to calculate the percentage change. (Q2 - Q1) ½ Q2 Q1 Elasticity = (P 2 - P1) ½ P1 + P2
  • 18. Graphs of Elasticities B $26 24 C (midpoint) 22 A 20 18 D 16 14 Elasticity of demand between A and B = 1.27 0 10 12 14 Quantity of software (in hundred thousands)
  • 19. Calculating Elasticities: Price elasticity of Demand P What is the price elasticity of demand between A and B? Q2–Q1 %ΔQ ½(Q2+Q1) B ED = %ΔP = P2–P1 $26 Midpoint C ½(P2+P1) $23 $20 A 10–14 ½(10+14) -.33 = 26–20 = .26 = 1.27 D ½(26+20) Q 10 12 14 7-19
  • 20. Price Elasticity: Supply • Price elasticity of supply is the percentage change in quantity supplied divided by the percentage change in ES = % change in Quantity Supplied % change in Price • This tells us exactly how quantity supplied responds to a change in price • Elasticity is independent of units 7-20
  • 21. Price Elasticity: Supply • Supply is elastic if the percentage change in quantity is greater than the percentagesupply is whenprice1 Elastic change in ES > • Supply is inelastic if the percentage change in quantity is less than the percentage change in price Inelastic supply is when ES < 1 7-21
  • 22. Graphs of Elasticities $6.00 5.50 5.00 B 4.50 C (midpoint) A 4.00 3.50 Elasticity of supply 3.00 between A and B = 0.18 0 470 480 490 Quantity of workers
  • 23. Calculating Elasticity Q2 Q1 1 % Q 2 (Q 1 Q2 ) E % P P2 P1 1 2 (P1 P2 )
  • 24. Calculating Elasticity of Demand Between Two Points Elasticity of demand % Q E $26 between A and B: % P B 24 10 14 4 1 22 midpoint C 2 (14 10) 12 .33 ED 1.27 20 26 20 6 .26 A 1 2 (26 20) 23 18 16 Demand 14 0 10 12 14 Quantity of software (in hundred thousands)
  • 25. Calculating Elasticity of Supply Between Two Points $6.00 5.50 Elasticity of supply 5.00 B between A and B: E % Q 4.50 C % P A 4.00 485 475 10 3.50 1 2 ( 485 475) 480 .021 ES .2 3.00 5 4.50 .50 .105 1 2 (5 4.50) 4.75 0 470 480 490 Quantity of workers
  • 26. Calculating Elasticity at a Point • Let us now turn to a method of calculating the elasticity at a specific point, rather than over a range or an arc.
  • 27. Calculating Elasticity at a Point • To calculate elasticity at a point, determine a range around that point and calculate the arc elasticity.
  • 28. Calculating Elasticity at a Point $10 (28 - 20) 9 ½ 28 20 8 E at A = (5 - 3) 0.66 7 6 ½ 5+3 C 5 A 4 B 3 2 1 20 24 28 40 Quantity
  • 29. Calculating Elasticity at a Point To calculate elasticity at a point determine $10 a range around that point and calculate 9 the arc elasticity. 8 7 28 20 8 6 1 C 2 (28 20) 24 .33 5 E at A .66 A 5 3 2 .5 4 B 1 2 (5 3) 4 3 2 1 20 24 28 40 Quantity
  • 30. Elasticity and Demand Curves • Two important points to consider: – Elasticity is related (but is not the same as) slope. – Elasticity changes along straight-line demand and supply curves.
  • 31. Calculating Elasticity at a Point $10 Demand 9 Supply 8 EA = 2.33 A 7 6 D 5 ED = 0.86 4 3 C E = 0.75 EB = 0.11 2 C B 1 6 12 18 24 30 36 42 48 54 60 Quantity
  • 32. Elasticity and Demand Curves • Two important points to consider: – Elasticity is related (but is not the same as) slope. – Elasticity changes along straight-line demand and supply curves.
  • 33. Elasticity Is Not the Same as Slope • The steeper the curve at a given point, the less elastic is supply or demand. • There are two limiting examples of this.
  • 34. Elasticity Is Not the Same as Slope • When the curves are flat, we call the curves perfectly elastic. • The quantity changes enormously in response to a proportional change in price (E = ).
  • 35. Elasticity Is Not the Same as Slope • When the curves are vertical, we call the curves perfectly inelastic. • The quantity does not change at all in response to an enormous proportional change in price (E = 0).
  • 36. Perfectly Inelastic Demand Curve Perfectly inelastic demand curve 0 Quantity
  • 37. Perfectly Elastic Demand Curve Perfectly elastic demand curve 0 Quantity
  • 38. Demand Curve Shapes and Elasticity • Perfectly Elastic Demand Curve – The demand curve is horizontal, any change in price can and will cause consumers to change their consumption. • Perfectly Inelastic Demand Curve – The demand curve is vertical, the quantity demanded is totally unresponsive to the price. Changes in price have no effect on consumer demand. • In between the two extreme shapes of demand curves are the demand curves for most products.
  • 40. Elasticity Changes Along Straight-Line Curves • Elasticity is not the same as slope. • Elasticity changes along straight line supply and demand curves–slope does not.
  • 41. Elasticity Along a Demand Curve Ed = ∞ Elasticity declines along $10 demand curve as we move 9 toward the quantity axis 8 Ed > 1 7 6 Price Ed = 1 5 4 3 Ed < 1 2 1 Ed = 0 0 1 2 3 4 5 6 7 8 9 10 Quantity
  • 42. The Price Elasticity of Demand Along a Straight-line Demand Curve
  • 43. Substitution and Elasticity • As a general rule, the more substitutes a good has, the more elastic is its supply and demand.
  • 44. Substitution and Demand • The less a good is a necessity, the more elastic its demand curve. • Necessities tend to have fewer substitutes than do luxuries.
  • 45. Substitution and Demand • Demand for goods that represent a large proportion of one's budget are more elastic than demand for goods that represent a small proportion of one's budget.
  • 46. Substitution and Demand • Goods that cost very little relative to your total expenditures are not worth spending a lot of time figuring out if there is a good substitute. • It is worth spending a lot of time looking for substitutes for goods that take a large portion of one’s income.
  • 47. Substitution and Demand • The larger the time interval considered, or the longer the run, the more elastic is the good’s demand curve. – There are more substitutes in the long run than in the short run. – The long run provides more options for change.
  • 48. Determinants of the Price Elasticity of Demand • The degree to which the price elasticity of demand is inelastic or elastic depends on: – How many substitutes there are – How well a substitute can replace the good or service under consideration – The importance of the product in the consumer’s total budget – The time period under consideration