Lecture 4 - Concept of Market Equilibrium, Elasticity and Its Application

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    Managerial Economics

    PGDM : 2013 15Term 1 (June September, 2013)

    (Lecture 4)

    1

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    P

    Q

    Market Equilibrium

    D SEquilibrium:

    P has reached the level

    where quantity supplied

    equals quantity

    demanded

    2

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    D S

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    P

    Q

    Equilibrium Price: The price that equates quantity

    supplied with quantity demanded (Max WTP = Min WTA)

    P QD QS

    $0 24 0

    1 21 5

    2 18 10

    3 15 15

    4 12 205 9 25

    6 6 30

    3

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    D S

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    P

    Q

    Equilibrium quantity: The quantity supplied and quantity

    demanded at the equilibrium price

    P QD QS

    $0 24 0

    1 21 5

    2 18 10

    3 15 15

    4 12 205 9 25

    6 6 30

    4

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    P

    Q

    D S

    Surplus (excess supply):When quantity supplied is

    greater than quantity demanded

    SurplusExample:

    IfP = $5,

    thenQD = 9 lattes

    and

    QS = 25 lattes

    resulting in asurplus of 16 lattes

    5

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    P

    Q

    D S Facing a surplus,

    sellers try to increase sales

    by cutting price.

    This causes

    QD to rise

    Surplus

    which reduces the

    surplus.

    andQS to fall

    6

    Surplus (excess supply):When quantity supplied is

    greater than quantity demanded

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    P

    Q

    D S Facing a surplus,

    sellers try to increase sales

    by cutting price.

    This causes

    QD to rise andQS to fall.

    Surplus

    Prices continue to fall until

    market reachesequilibrium.

    7

    Surplus (excess supply):When quantity supplied is

    greater than quantity demanded

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    P

    Q

    D S

    Shortage (excess demand): when quantity demanded is

    greater than quantity supplied

    Example:

    IfP = $1,

    thenQD = 21 lattes

    and

    QS = 5 lattes

    resulting in ashortage of 16 lattes

    Shortage

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    P

    Q

    D S Facing a shortage,

    sellers raise the price,

    causing QD

    to fall

    which reduces the

    shortage.

    andQS to rise,

    Shortage

    9

    Shortage (excess demand): when quantity demanded is

    greater than quantity supplied

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    P

    Q

    D S Facing a shortage,

    sellers raise the price,

    causing QD

    to fallandQS to rise.

    Shortage

    Prices continue to rise

    until market reaches

    equilibrium.

    10

    Shortage (excess demand): when quantity demanded is

    greater than quantity supplied

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    11

    EXAMPLES

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    Demand Curve

    A. The price of iPods falls

    B. The price of music

    downloads falls

    C. The price of CDs falls

    12

    Draw a demand curve for music downloads. What

    happens to it in each of the following scenarios?

    Why?

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    A. Price of iPods falls

    13

    Q2

    Price of

    music

    down-

    loads

    Quantity of

    music downloads

    D1 D2

    P1

    Q1

    Music downloads

    and iPods are

    complements.

    A fall in price of

    iPods shifts the

    demand curve for

    music downloads

    to the right.

    Music downloads

    and iPods are

    complements.

    A fall in price of

    iPods shifts the

    demand curve for

    music downloads

    to the right.

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    B. Price of music downloads falls

    14

    TheD curve

    does not shift.

    Move down along curveto a point with lowerP,

    higherQ.

    TheD curve

    does not shift.

    Move down along curveto a point with lowerP,

    higherQ.

    Price of

    music

    down-

    loads

    Quantity of

    music downloads

    D1

    P1

    Q1 Q2

    P2

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    C. Price of CDs falls

    15

    P1

    Q1

    CDs and

    music downloads are

    substitutes.

    A fall in price of CDsshifts demand for

    music downloads

    to the left.

    CDs and

    music downloads are

    substitutes.

    A fall in price of CDsshifts demand for

    music downloads

    to the left.

    Price of

    music

    down-

    loads

    Quantity of

    music downloads

    D1D2

    Q2

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    Supply Curve

    16

    Draw a supply curve for tax

    return preparation software.

    What happens to it in each

    of the following scenarios?A. Retailers cut the price of

    the software.

    B. A technological advance

    allows the software to be

    produced at lower cost.

    C. Professional tax return preparers raise the price of the

    services they provide.

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    A. Fall in price of tax return software

    17

    Scurve does

    not shift.

    Move downalong the curve

    to a lowerP

    and lowerQ.

    Scurve does

    not shift.

    Move downalong the curve

    to a lowerP

    and lowerQ.

    Price of

    tax return

    software

    Quantity of tax

    return software

    S1

    P1

    Q1Q2

    P2

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    B. Fall in cost of producing the software

    18

    Scurve shifts

    to the right:

    at each price,Q increases.

    Scurve shifts

    to the right:

    at each price,Q increases.

    Price of

    tax return

    software

    Quantity of tax

    return software

    S1

    P1

    Q1

    S2

    Q2

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    C. Professional preparers raise their price

    19

    This shifts the

    demand curve for

    tax preparationsoftware, not the

    supply curve.

    This shifts the

    demand curve for

    tax preparationsoftware, not the

    supply curve.

    Price of

    tax return

    software

    Quantity of tax

    return software

    S1

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    Three Steps to Analyze Changes in Equilibrium

    To determine the effects of any event,

    1. Decide whether event shiftsScurve,

    D curve, or both.2. Decide in which direction curve shifts.

    3. Use supply-demand diagram to see

    how the shift changes eqmPandQ.

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    Example 1: The Market for Diesel Cars

    P

    Q

    D1

    S1

    P1

    Q1

    price of

    hybrid cars

    quantity of

    hybrid cars

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    STEP 1:

    D curve shifts

    because price of gas

    affects demand for

    hybrids.

    Scurve does not shift,

    because price of gasdoes not affect cost of

    producing hybrids.

    STEP 2:

    D shifts right

    because high gas price

    makes hybrids more

    attractive relative to

    other cars.

    Example 1:A Shift in Demand

    Event to be analyzed:

    Increase in price of Petrol.

    P

    Q

    D1

    S1

    P1

    Q1

    D2

    P2

    Q2

    STEP 3:

    The shift causes an increasein price and quantity of

    hybrid cars.

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    P

    Q

    D1

    S1

    P1

    Q1

    D2

    P2

    Q2

    Notice:

    WhenPrises,

    producers supply

    a larger quantity

    of hybrids, eventhough theScurve

    has not shifted.

    Always be carefulAlways be careful

    to distinguish b/wto distinguish b/wa shift in a curvea shift in a curve

    and a movementand a movement

    along the curve.along the curve.

    Example 1:A Shift in Demand

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    STEP 1:

    Scurve shifts

    because event affects

    cost of production.

    D curve does not shift,

    because production

    technology is not one ofthe factors that affect

    demand.

    STEP 2:

    Sshifts right

    because event reduces

    cost,

    makes production more

    profitable at any given

    price.

    Example 2:A Shift in Supply

    P

    Q

    D1

    S1

    P1

    Q1

    S2

    P2

    Q2

    Event: New technology

    reduces cost of producing

    diesel cars.

    STEP 3:

    The shift causes priceto fall and quantity to

    rise.

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    25

    Example3: A Shift in Both Supply and Demand

    P

    Q

    D1

    S1

    P1

    Q1

    S2

    D2

    P2

    Q2

    Events:

    price of fuel rises AND

    new technology reduces

    production costs

    STEP 1:

    Both curves shift.

    STEP 2:

    Both shift to the right.

    STEP 3:

    Q rises, but effectonPis ambiguous:

    If demand increases more than

    supply,Prises.

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    STEP 3, cont.

    P

    Q

    D1

    S1

    P1

    Q1

    S2

    D2

    P2

    Q2

    EVENTS:

    price of fuel rises AND

    new technology reduces

    production costs

    But if supply

    increases more

    than demand,

    P falls.

    Example3: A Shift in Both Supply and Demand

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    Shifts in Supply and Demand

    Use the three-step method to analyze the effects of each event on the

    equilibrium price and quantity of music downloads.

    Event A: A fall in the price of CDs

    Event B: Sellers of music downloads negotiate a reduction in

    the royalties they must pay for each song they sell.

    Event C: Events A and B both occur.

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    A. Fall in price of CDs

    2. D shifts left

    P

    Q

    D1

    S1

    P1

    Q1

    D2

    The market for

    music downloads

    P2

    Q2

    1. D curve shifts

    3. PandQboth fall.

    STEPS

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    B. Fall in cost of royalties

    P

    Q

    D1

    S1

    P1

    Q1

    S2

    The market for

    music downloads

    Q2

    P2

    1. Scurve shifts

    2. Sshifts right

    3. Pfalls,

    Q rises.

    STEPS

    (Royalties are part ofsellers costs)

    a1

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    Slide 29

    a1 The royalties that sellers must pay the artists are part of sellers costs of production. Typically, this royalty is a fixed amount each

    time one of the artists songs is downloaded. Event B, therefore, describes a reduction in sellerscosts of production.

    Sellers of music downloads negotiate a reduction in the royalties they must pay for each song they sell. This event causes a fall in

    costs of production for sellers of music downloads. Hence, the S curve shifts to the right.

    arnab, 7/7/2013

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    C. Fall in price of CDs and fall in cost of

    royalties

    Results

    Punambiguously falls.Effect on Q is ambiguous:

    The fall in demand reduces Q;

    The increase in supply increases Q.

    a2

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    Slide 30

    a2 Verify the result by a graphical analysis as discussed in the class.arnab, 7/7/2013

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    A Problem

    In Rolling Stone magazine, several fans and rock stars, including Pearl Jam, werebemoaning the high price of concert tickets. One superstar argued, It just isnt worth $75to see me play. No one should have to pay that much to go to a concert. Assume this starsold out arenas around the country at an average ticket price of $75.

    a) How would you evaluate the arguments that ticket prices are too high?

    b) Suppose that due to this stars protests, ticket prices were lowered to $50. In whatsense is this price too low? Draw a diagram using supply and demand curves to

    support your argument.

    c) Suppose Pearl Jam really wanted to bring down ticket prices. Since the bandcontrols the supply of its services, what do you recommend they do? Explainusing a supply and demand diagram.

    d) Suppose the band s next CD was a total flop. Do you think they would still have toworry about ticket prices being too high? Why or why not? Draw a supply anddemand diagram to support your argument.

    e) Suppose the group announced their next tour was going to be their last. Whateffect would this likely have on the demand for and price of tickets? Illustratewith a supply and demand diagram.

    31

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    A Funny Exercise

    Explain the story told by this image with the help of DemandSupply Tools..

    32

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    Market Equilibrium: Algebraic Approach

    Quantity Demanded is function of price

    .(1)

    An inverse demand function or price function is

    .(1.1)

    Quantity Supplied is function of

    ....(2)

    An inverse supply function is

    ..(2.1)

    33

    dPdQ

    ( ) ddd bPaPfQ -==\

    sQ sP

    ( )

    bband

    baawhere

    QbaQfP ddd

    1,

    1

    ==

    -==\ -

    ( )

    ddand

    d

    ccwhere

    QdcQfP sss

    1,

    1

    =-=

    +==\ -

    ( ) sss dPcPfQ +==\

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    Market Equilibrium: Algebraic Approach

    When the market is in equilibrium, , where, is the

    Equilibrium Price

    where, is the Equilibrium Quantity

    Since, Price cannot be negative

    Alternatively, you can obtain the equilibrium price and quantity just byequating equations (1) and (2)

    34

    esd PPP ==

    +

    --=

    +

    -=

    +=-\

    db

    cabaPand

    db

    caQ

    QdcQba

    e

    e

    ee

    ,

    e

    eQ

    caf

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    Example

    Demand is given by QD = 620 - 10P and supply is given by QS =

    100 + 3P. What is the price and quantity when the market is in

    equilibrium?

    Answer:In equilibrium,

    QD = QS,

    620 - 10P = 100 + 3P

    So, the equilibrium Price is 40And the equilibrium quantity is 220.

    35

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    A note on Equilibrium Price

    The objective of Demand supply analysis is to find a price at which the

    market is clear. We know it is the equilibrium price.

    Other than Market clearing explanation of equilibrium price what else

    can you say about this price?

    In the simplest manner, equilibrium price can be defined as the market

    value of a product or service and at this value the willingness to accept

    (WTA) of the sellers matches with willingness to pay (WTP) of the

    buyers.

    Now the question is why does equilibrium price differ across different

    markets?

    It was thought by the economists, that intrinsic use value of a commodityis the reason for this difference .

    However, the concepts of production cost and scarcity value better

    explain this difference. It should be noted that scarcity is also responsible

    for increasing the production cost. The following examples help you to

    understand this concept: 36

    a3

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    Slide 36

    a3 Comments and Arguments are very much welcome...arnab, 7/11/2013

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    A note on Equilibrium Price (contd.)

    37

    Diamond and Water Paradox

    Real Diamond and Cubic Zicronium Diamond

    (artificial)

    Hand Written Bible and Printed Bible

    Whale Oil Lubricant and Lubricant made from

    Jojoba Beans

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    Suggested Readings

    Shuttlecock Production in Uluberia, West Bengal

    (http://articles.economictimes.indiatimes.com/2012-12-

    28/news/36036532_1_shuttlecocks-duck-feathers-badminton-

    players)

    Discovery of Jojoba Beans caused a collapse of Whale Oil

    Lubricant Price ( MMH, Chapter 2, Page 29)

    Depreciation of Rupee and Impact on Product Market (Thearticle sent through e-mail)

    Atkins Diet and Demand for Egg (The article sent through e-mail)

    38

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    Elasticity

    Basic idea:

    Elasticity measures how much one variable responds to

    changes in another variable.

    One type of elasticity measures how much demand for yourwebsites will fall if you raise your price.

    Definition:

    Elasticity is a numerical measure of the responsiveness of Qd

    or Qs to one of its determinants.

    39

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    Price elasticity of demand measures how

    much Qdresponds to a change inP.

    Price elasticity

    of demand=

    Percentage change in Qd

    Percentage change inP

    Loosely speaking, it measures the price-sensitivity of

    buyers demand.

    40

    Price Elasticity of Demand

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    Price elasticity

    of demand

    equals

    P

    Q

    D

    Q2

    P2

    P1

    Q1

    P risesby 10%

    Q falls

    by 15%

    15%10%

    = 1.5

    Price elasticity

    of demand=

    Percentage change in Qd

    Percentage change inP

    Example:

    41

    Price Elasticity of Demand

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    Price Elasticity of Demand

    Along aD curve,PandQ move

    in opposite directions, whichwould make price elasticity

    negative.

    We will drop the minus sign

    and report all price elasticitiesas

    positive numbers.

    Along aD curve,PandQ move

    in opposite directions, whichwould make price elasticity

    negative.

    We will drop the minus sign

    and report all price elasticitiesas

    positive numbers.

    P

    Q

    D

    Q2

    P2

    P1

    Q1

    Price elasticityof demand

    = Percentage change in Qd

    Percentage change inP

    42

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    Calculating Percentage Changes

    P

    Q

    D

    $250

    8

    B

    $200

    12

    A

    Demand for

    your websites

    Standard methodof computing the

    percentage (%) change:

    end value start value

    start value x 100%

    Going from A to B,

    the % change inPequals

    ($250$200)/$200 = 25%

    43

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    P

    QD

    $250

    8

    B

    $200

    12

    A

    Demand for

    your websites

    Problem:The standard method gives

    different answers depending on

    where you start.

    From A to B,Prises 25%, Q falls 33%,

    elasticity = 33/25 = 1.33

    From B to A,

    Pfalls 20%, Q rises 50%,

    elasticity = 50/20 = 2.50

    44

    Calculating Percentage Changes

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    So, we instead use the midpoint method:

    end value start value

    midpointx 100%

    The midpoint is the number halfway between thestart & end values, the average of those values.

    It doesnt matter which value you use as the start

    and which as the endyou get the same answer

    either way!

    45

    Calculating Percentage Changes

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    Using the midpoint method, the % change

    inPequals

    $250 $200

    $225x 100% = 22.2%

    The % change in Q equals

    12 8

    10x 100% = 40.0%

    The price elasticity of demand equals

    40/22.2 = 1.8

    46

    Calculating Percentage Changes

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    What determines price elasticity?

    To learn the determinants of price elasticity, we look at a series ofexamples.

    Each compares two common goods.

    In each example: Suppose the prices of both goods rise by 20%.

    The good for which Qd falls the most (in percent) has the

    highest price elasticity of demand.

    Which good is it? Why? What lesson does the example teach us about the determinants

    of the price elasticity of demand?

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    The Determinants of Price Elasticity

    The price elasticity of demand depends on:

    the extent to which close substitutes are available

    whether the good is a necessity or a luxury how broadly or narrowly the good is defined

    the time horizon elasticity is higher in the long

    run than the short run

    The price elasticity of demand depends on:

    the extent to which close substitutes are available

    whether the good is a necessity or a luxury how broadly or narrowly the good is defined

    the time horizon elasticity is higher in the long

    run than the short run

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    EXAMPLE 1: Insulin vs. Caribbean Cruises

    The prices of both of these goods rise by 20%.

    For which good does Qd drop the most? Why?

    To millions of diabetics, insulin is a necessity.

    A rise in its price would cause little or no decreasein demand.

    A cruise is a luxury. If the price rises,

    some people will forego it.

    Lesson: Price elasticity is higher for luxuries than fornecessities.

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    EXAMPLE 2: Breakfast cereal vs. Sunscreen

    The prices of both of these goods rise by 20%. For which

    good does Qd drop the most? Why?

    Breakfast cereal has close substitutes (e.g., pancakes, Eggo

    waffles, leftover pizza), so buyers can easily switch if the

    price rises.

    Sunscreen has no close substitutes, so consumers would

    probably not buy much less if its price rises.

    Lesson: Price elasticity is higher when close substitutes are

    available.

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    EXAMPLE 3: Blue Jeans vs. Clothing

    The prices of both goods rise by 20%. For which good does Qd

    drop the most? Why?

    For a narrowly defined good such as blue jeans, there are

    many substitutes (black jeans, khakis, Grey Jeans).

    There are fewer substitutes available for broadly defined

    goods. Actually, there is no substitutes for clothing.

    Lesson: Price elasticity is higher for narrowly defined goods

    than broadly defined ones.

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    EXAMPLE 4: Car Fuel in the Short Run vs. Car Fuel

    in the Long Run

    The price of petrol rises 20%. Does Qd drop more in the short

    run or the long run? Why?

    Theres not much people can do in the short run, other than

    ride the bus or carpool.

    In the long run, people can buy smaller cars or live closer to

    where they work.

    Lesson: Price elasticity is higher in the long run than the

    short run.

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    53

    The Variety of Demand Curves

    The price elasticity of demand is closely related to the

    slope of the demand curve.

    Rule of thumb:

    The flatter the curve, the bigger the elasticity.The steeper the curve, the smaller the elasticity.

    Five different classifications ofD curves.

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    54

    Q1

    P1

    D

    Perfectly inelastic demand (one extreme case)

    P

    Q

    P2

    P fallsby 10%

    Q changes

    by 0%

    0%

    10% = 0Price elasticity

    of demand =

    % change in Q

    % change inP =

    Consumers

    price sensitivity:

    D curve:

    Elasticity:

    vertical

    none

    0

    a4

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    Slide 54

    a4 If Q doesnt change, then the percentage change in Q equals zero, and thus elasticity equals zero.

    It is hard to think of a good for which the price elasticity of demand is literally zero. Take insulin, for example. A sufficiently largeprice increase would probably reduce demand for insulin a little, particularly among people with very low incomes and no health

    insurance.

    However, if elasticity is very close to zero, then the demand curve is almost vertical. In such cases, the convenience of modeling

    demand as perfectly inelastic probably outweighs the cost of being slightly inaccurate.arnab, 7/12/2013

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    55

    Inelastic demand

    P

    QQ1

    P1

    Q2

    P2

    Q rises less

    than 10%

    < 10%

    10% < 1Price elasticity

    of demand =

    % change in Q

    % change inP =

    P fallsby 10%

    Consumers

    price sensitivity:

    D curve:

    Elasticity:

    relatively steep

    relatively low

    < 1

    a5

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    Slide 55

    a5 An example: Student demand for textbooks that their professors have required for their courses.

    Here, its a little more clear that elasticity would be small, but not zero. At a high enough price, some students will not buy theirbooks, but instead will share with a friend, or try to find them in the library, or just take copious notes in class.

    Another example: Gasoline in the short run.arnab, 7/12/2013

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    56

    Unit elastic demand

    P

    QQ1

    P1

    Q2

    P2

    Q rises by 10%

    10%

    10% = 1

    Price elasticity

    of demand =

    % change in Q

    % change inP =

    P fallsby 10%

    Consumers

    price sensitivity:

    Elasticity:

    intermediate

    1

    D curve:

    intermediate slope

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    57

    Elastic demand

    P

    QQ1

    P1

    Q2

    P2

    Q rises more

    than 10%

    > 10%

    10% > 1

    Price elasticity

    of demand =

    % change in Q

    % change inP =

    P fallsby 10%

    Consumers

    price sensitivity:

    D curve:

    Elasticity:

    relatively flat

    relatively high

    > 1

    a6

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    Slide 57

    a6 A good example here would be breakfast cereal, or nearly anything with readily available substitutes.

    An elastic demand curve is flatter than a unit elastic demand curve (which itself is flatter than an inelastic demand curve).arnab, 7/12/2013

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    58

    D

    Perfectly elastic demand (the other extreme)

    P

    Q

    P1

    Q1Pchanges

    by 0%

    Q changes

    by any %

    Very Large

    Very Low(almost 0%)= infinity

    Q2

    P2 =Consumers

    price sensitivity:

    D curve:

    Elasticity:

    infinity

    horizontal

    extreme

    Price elasticity

    of demand =

    % change in Q

    % change inP =

    a7

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    Slide 58

    a7 Heres a good real-world example of a perfectly elastic demand curve, which foreshadows an upcoming chapter on firms in competitive

    markets. Suppose you run a small family farm in Jodhpur. Your main crop is Bazra. The demand curve in this market is

    downward-sloping, and the market demand and supply curves determine the price of Bazra. Suppose that price is Rs. 50/Kg.

    Now consider the demand curve facing you, the individual Bazra farmer. If you charge a price of Rs.50, you can sell as much or as

    little as you want. If you charge a price even just a little higher than Rs. 50, demand for YOUR Bazra will fall to zero: Buyers wouldnot be willing to pay you more than Rs.50 when they could get the same Bazra elsewhere for Rs. 50. Similarly, if you drop your price

    below Rs. 50, then demand for YOUR Bazra will become enormous (not literally infinite, but almost infinite): if other Bazra farmers

    are charging Rs.50 and you charge less, then EVERY buyer will want to buy Bazra from you.

    Why is the demand curve facing an individual producer perfectly elastic? Recall that elasticity is greater when lots of close substitutes

    are available. In this case, you are selling a product that has many perfect substitutes: the wheat sold by every other farmer is a

    perfect substitute for the wheat you sell.arnab, 7/12/2013

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    Problem

    59

    Use the following

    information to

    calculate the

    price elasticityof demand

    for hotel rooms:

    ifP= $70, Qd = 5000

    ifP= $90, Qd = 3000

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    Answers

    60

    Use midpoint method to calculate

    % change in Qd

    (5000 3000)/4000 = 50%

    % change inP

    ($90 $70)/$80 = 25%

    The price elasticity of demand equals50%

    25%= 2.0

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    You design websites for local businesses.

    You charge $200 per website, and currently sell 12 websites per

    month.

    Your costs are rising (including the opportunity cost of your

    time), so you consider raising the price to $250.

    The law of demand says that you wont sell as many websites if

    you raise your price.

    How many fewer websites? How much will your revenue fall,

    or might it increase?

    You design websites for local businesses.

    You charge $200 per website, and currently sell 12 websites per

    month.

    Your costs are rising (including the opportunity cost of your

    time), so you consider raising the price to $250.

    The law of demand says that you wont sell as many websites if

    you raise your price.

    How many fewer websites? How much will your revenue fall,

    or might it increase?

    A scenario

    61

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    62

    Price Elasticity and Total Revenue

    Continuing our scenario, if you raise your price

    from $200 to $250, would your revenue rise or fall?

    Revenue =Px Q

    A price increase has two effects on revenue:

    HigherPmeans more revenue on each unit

    you sell.

    But you sell fewer units (lowerQ),

    due to Law of Demand.

    Which of these two effects is bigger?

    It depends on the price elasticity of demand.

    a8

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    Slide 62

    a8 It should be clear that making the best possible decision would require information about the likely effects of the price increase on

    revenue. That is why elasticity is so helpful, as we will now see.arnab, 7/12/2013

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    63

    If demand is elastic, then

    price elast. of demand > 1

    % change in Q > % change inP

    The fall in revenue from lowerQ is greaterthan the increase in revenue from higherP,so revenue falls.

    Revenue =Px Q

    Price elasticity

    of demand=

    Percentage change in Q

    Percentage change inP

    Price Elasticity and Total Revenue

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    64

    Price Elasticity and Total Revenue

    Elastic demand

    (elasticity = 1.8) P

    Q

    D

    $200

    12

    IfP= $200,

    Q = 12 and revenue

    = $2400.

    WhenD is elastic,

    a price increase

    causes revenue to fall.

    $250

    8

    IfP= $250,

    Q = 8 and

    revenue = $2000.

    lost

    revenue

    due to

    lowerQ

    increased revenue

    due to higherP

    Demand foryour websites

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    65

    Price Elasticity and Total Revenue

    If demand is inelastic, then

    price elast. of demand < 1% change in Q < % change inP

    The fall in revenue from lowerQ is smaller

    than the increase in revenue from higherP,

    so revenue rises.

    In our example, suppose that Q only falls to 10 (instead

    of 8) when you raise your price to $250.

    Revenue =Px Q

    Price elasticityof demand =Percentage change in Q

    Percentage change inP

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    66

    Price Elasticity and Total Revenue

    Now, demand is

    inelastic:elasticity = 0.82 P

    Q

    D

    $200

    12

    IfP= $200,

    Q = 12 and revenue

    = $2400. $250

    10

    IfP= $250,

    Q = 10 and

    revenue = $2500.

    WhenD is inelastic,

    a price increase

    causes revenue to rise.

    lost

    reven

    ue

    due

    to

    lowerQ

    Demand for your websites

    increased revenue due tohigherP

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    A. Pharmacies raise the price of insulin by 10%. Does total

    expenditure on insulin rise or fall?

    B. As a result of a fare war, the price of a luxury cruise falls

    20%. Does luxury cruise companies total revenue rise or

    fall?

    Problem

    67

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    Answers

    68

    A. Pharmacies raise the price of insulin by 10%. Does

    total expenditure on insulin rise or fall?

    Expenditure =Px Q

    Since demand is inelastic, Q will fall less

    than 10%, so expenditure rises.

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    Answers

    69

    B. As a result of a fare war, the price of a luxury cruise

    falls 20%.

    Does luxury cruise companies total revenue

    rise or fall?

    Revenue =Px Q

    The fall inPreduces revenue,

    but Q increases, which increases revenue. Which

    effect is bigger?

    Since demand is elastic, Q will increase more than

    20%, so revenue rises.

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    Other Types of Elasticity of Demand

    Income elasticity of demand: measures the response ofQd toa change in consumer income

    Income elasticity of

    demand=

    Percent change in Qd

    Percent change in income

    Recall : An increase in income causes an increase in demand

    for a normalgood.

    Hence, for normal goods, income elasticity > 0. Forinferiorgoods, income elasticity < 0.

    70

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    Cross-price elasticity of demand:measures the response of demand for one good to changes in

    the price of another good

    Cross-price elast.

    of demand

    =% change in Qd for good 1

    % change in price of good 2

    For substitutes, cross-price elasticity > 0

    (e.g., an increase in price of mutton causes an increase in

    demand for chicken)

    For complements, cross-price elasticity < 0

    (e.g., an increase in price of computers causes decrease in

    demand for software)

    71

    Other Types of Elasticity of Demand