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  • 8/9/2019 Economics Slides 2

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    ElasticityElasticity

    Price elasticity of demand:Price elasticity of demand:

    The responsiveness of quantityThe responsiveness of quantity demanded to ademanded to a

    change in pricechange in priceMeasurementMeasurement

    Percentage (or proportionate) change in quantityPercentage (or proportionate) change in quantity

    demanded divided by the percentage (or proportionate)demanded divided by the percentage (or proportionate)

    change in pricechange in price

    %%QQDD// %%PP..

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    40% rise in the price of oil caused quantity40% rise in the price of oil caused quantity

    demanded to fall by 10demanded to fall by 10%%

    --10% / 40% =10% / 40% = --0.250.25 5% fall in the price of potato caused quantity5% fall in the price of potato caused quantity

    demanded to rise by 15demanded to rise by 15%%

    --15%

    /15%

    /--

    5%

    =5%

    =--33

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    Value ofElasticityValue ofElasticity

    Elastic > 1Elastic > 1

    Where quantity demanded change by a larger %ageWhere quantity demanded change by a larger %agethan pricethan price

    Inelastic < 1Inelastic < 1 Where quantity demanded change by a smaller %ageWhere quantity demanded change by a smaller %age

    than pricethan price

    UnitElastic = 1UnitElastic = 1

    Where quantity demanded change by a same %ageWhere quantity demanded change by a same %agethan pricethan price

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    Special CasesSpecial Cases

    Totally Inelastic DemandTotally Inelastic Demand

    Infinitely Elastic DemandInfinitely Elastic Demand

    Unit ElasticityDemandUnit ElasticityDemand

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    Determinants ofprice ElasticityDeterminants ofprice Elasticity

    The number and closeness of substitute goodsThe number and closeness of substitute goods

    The proportion of income spent on good.The proportion of income spent on good.

    The time period.The time period.

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    Measurement ofElasticityMeasurement ofElasticity

    ArcElasticityArcElasticity

    ProportionateProportionate QQ// ProportionateProportionate PP

    Price Elasticity ofDemandPrice Elasticity ofDemand

    ( Q( Q// Q )Q ) ( P( P // P )P )

    PointElasticityPointElasticity

    ( Q( Q// P ) x (PP ) x (P //Q )Q )

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    QQ// Q = 10 / 15Q = 10 / 15

    PP // P =P = --2 / 72 / 710/1510/15 --2/7 =2/7 = --7/3 =7/3 = --2.332.33

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    PointElasticityPointElasticity

    The measurement of elasticity at a point on aThe measurement of elasticity at a point on a

    curve.curve.

    The formula for price elasticity of demand usingThe formula for price elasticity of demand usingpoint elasticity method is dQ/dPxP/Qpoint elasticity method is dQ/dPxP/Q

    Where dQ/dP is the inverse of the slope of theWhere dQ/dP is the inverse of the slope of the

    tangent to the demand curve at the point intangent to the demand curve at the point in

    question.question.

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    QQ// P x P/QP x P/QHow quantity demanded would react to anHow quantity demanded would react to an

    infinitesimally small change in price.infinitesimally small change in price. Tangent to the Demand CurveTangent to the Demand Curve

    Slope isSlope is --50/100. dP/dQ is50/100. dP/dQ is --50/10050/100

    dQ/dP isdQ/dP is --100/50=100/50= --22

    Elasticity =Elasticity = --2 x 30/40 =2 x 30/40 = --1.51.5

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    Elasticity ofStraight Line DemandElasticity ofStraight Line Demand

    CurveCurve dP/dQ is constantdP/dQ is constant

    i.e. = 50/i.e. = 50/--10 =10 = --55

    The value of P/QThe value of P/Q dQ/dP x P/Q =dQ/dP x P/Q = --5 x 8/10 =5 x 8/10 = --44

    dQ/dP x P/Q =dQ/dP x P/Q = --5 x6/20 =5 x6/20 = --1.51.5

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    Price Elasticity ofSupplyPrice Elasticity ofSupply

    The responsiveness of quantity supplied to aThe responsiveness of quantity supplied to a

    change in price.change in price.

    FormulaFormula The percentage (or proportionate) change in quantityThe percentage (or proportionate) change in quantity

    supplied divided by the percentage (orsupplied divided by the percentage (or

    proportionate) change in price:proportionate) change in price: %Qs%Qs ++ PP

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    PPs = (%Qss = (%Qs // P )P ) If 10% rise in price caused a 25% rise in theIf 10% rise in price caused a 25% rise in the

    quantity supplied. Thenquantity supplied. Then 25% / 10% = 2.525% / 10% = 2.5

    If 10% rise in price caused a 25% rise in theIf 10% rise in price caused a 25% rise in the

    quantity supplied. Thenquantity supplied. Then5% / 10% = 0.55% / 10% = 0.5

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    Income Elasticity ofDemandIncome Elasticity ofDemand

    The responsiveness of demand to a change in consumerThe responsiveness of demand to a change in consumer

    incomes.incomes.

    Measurement:Measurement:

    The percentage (or proportionate) change inThe percentage (or proportionate) change in

    demand divided by the percentage (ordemand divided by the percentage (or

    proportionate) change in income.proportionate) change in income.

    YYDD = (%Q= (%QDD // Y )Y )

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    If demand of butter rose 2 per cent when theIf demand of butter rose 2 per cent when theprice of margarine (a substitute) rose by 8 perprice of margarine (a substitute) rose by 8 percent, then the cross elasticity of demand forcent, then the cross elasticity of demand for

    butter with respect to margarine would be:butter with respect to margarine would be:2% / 8% = 0.252% / 8% = 0.25

    If good b is complementary to good a, asIf good b is complementary to good a, as

    demand will fall as bs price rises. Cross elasticitydemand will fall as bs price rises. Cross elasticityof demand will be a negative figure.of demand will be a negative figure.

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    The responsiveness of demand for one good toThe responsiveness of demand for one good to

    a change in the price of another.a change in the price of another.

    Formula:Formula:

    The percentage (or proportionate) change inThe percentage (or proportionate) change in

    demand for good a divided by the percentagedemand for good a divided by the percentage

    (or proportionate) change in price of good b:(or proportionate) change in price of good b:

    %%QQDa +%Da +%PPb.b.

    CrossCross--Price Elasticity ofDemandPrice Elasticity ofDemand

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    ElasticityAirElasticityAir

    Charge higher price to business travelers.Charge higher price to business travelers.

    Charge low enough price to leisure travelersCharge low enough price to leisure travelers

    Bumper Harvest:Bumper Harvest:Demand for basic food products highlyDemand for basic food products highly

    inelastic.inelastic.