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    Managerial Economics Oxford University Press, 2006 All rights reserved

    Chapter 2

    Demand

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    Major Divisions of Economics

    Consumption: Optimizing unlimited human

    wants, limited means with alternative uses

    and consequent priced goods and services.

    Production: Meaning creation of values to

    satisfy consumption and growth needs

    Exchange: Money is the medium ofexchange,

    DistributionManagerial Economics OxfordUniversity Press, 2006

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    Demand

    Consumption results in demands of all sorts

    Demand: meaning: desire backed by willingness

    and ability to pay for a commodity/service. Compliments and substitute goods:

    Compliments have to be used together: car and

    petrol Substitutes: When one can replace the other:

    tea/coffee or wheat and riceQx

    Px

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    Demand schedule and graphs

    Individual demand schedule: table

    Market demand schedule: table

    Demand curve: linear

    Effect on demand of changes in its own price

    results in movement alongthe demand curve.

    Effect on demand of changes in other factorsresults inshifts in demand curve

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    The law of demand

    States the relationship between price and

    quantity demanded of the same good. This

    relationship is mostly inverse. Thus the lawof demand states that demand for a good or

    service is inversely related to its price

    subject to the condition other thingsremaining the same These other things are

    income, prices of other goods, tastes and

    preferences( Ceteris peribus).Managerial Economics OxfordUniversity Press, 2006

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    Why is demand curve negatively sloped?

    1. when price falls, commodity becomes

    relatively cheaper than its substitutes: this is

    called substitution effect 2. When price falls, real income rises, so

    consumer may buy more of it with the same

    amount as before: income effect

    3. The total effect of a price change equals

    income plus substitution effects

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    Exceptions to the law of demand

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    1.When prices are expected to rise in

    future.

    2. Absolute necessities: when their price

    goes up, poor consumers may buy more

    even at the higher prices. This happens

    because these necessities even at higherprices remain the cheapest sources of their

    consumption, rather survival.

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    Exceptions to the law

    Such goods are known by Giffen Goods.

    The poor consumers buy more of these by

    giving up the consumption of superior

    goods as prices of absolute necessities

    increase.

    Sir Robert Giffen (1837-1910) used incomeand substitution effects to explain this

    phenomenon.

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    Giffen Goods..

    1. If the negative income effect works

    against the substitution effects and

    outweighs it, we would have a positiverelationship between Px and Qx.Income

    effect is negative when a consumer buys

    less of a commodity when his real incomegoes up.

    2. If real income falls, he may buyanagerial Economics Oxford

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    Giffen goods

    more quantity of the good whose price goes

    up.

    Giffen goods are those where the combined

    effect of substitution and income effects

    results in a positive relationship between

    PX and Qx.

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    Giffen good

    Income effect

    Price effect +

    Substitution effect

    Substitution effect is inversely related to price.

    Income effect can be inversely related to

    changes in incomeInferior Good Income effect can be positively related to

    income-Superior good

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    Giffen Goods

    If income effect of a price increase is inverse

    and large enough to offset the substitutioneffect, then it is a Giffen Good

    The Demand curve for Giffen Good will have apositive slope

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    Shifts in demand

    When the price of a commodity changes,

    other things remain constant, the

    relationship between price and quantitydemanded happens on the same demand

    curve. This gives us extension/contraction

    of demand. When other things like income change,

    demand curve shifts up or down and we

    have increase and decrease in demand.Managerial Economics OxfordUniversity Press, 2006All rights reserved

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    Slope and Elasticity of Demand

    Slope can not be standard measure of

    elasticity as this measure is sensitive to

    unit of measurement.

    Proportionate change: proportionate

    change in quantity demanded to a

    proportionate change inprice/income/other price is the exact

    measure and independent of units

    choosen.

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    Elasticity

    Pe Greater than1 (ignoringsign): Elastic

    Pe Equal to 1 (ignoringsign) : Unit Elastic

    Pe Less than 1 ( ignoringsign): Inelastic

    Price Elasticity and Expenditure:

    - Pe less than 1 a fall in price lower exp

    - Pe equal to 1 a fall in price exp.constant

    - Pe greater than 1 a fall in price higher exp

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    Elasticity

    Income Elasticity

    Qx/I * I/Qx

    Could be negative or positive:

    Negative for Inferior goods

    Positive for Superior goods

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    Elasticity

    Cross Price Elasticity:

    Qx/Py * Py/Qx

    Could be negative or positive

    - Negative for complements

    - Positive for substitutes

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    Point and arc elasticity

    Point Elasticity: when price change is very small.

    Arc Elasticity: when price change is large enough.

    Price Elasticity measurements:

    i) Proportionate method: Q/ P x P/Q

    Examples: if demand function is Q =30 -5P + P2

    Marginal function Q/ P = -5+ 2P and averagefunction, or Q/P = (30 -5P + P2)/ P

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    Elasticity of demand

    Now ed = Q/ P x P/Q, so it equals

    Marginal function/average function, or

    Ed= (-5 +2P) x P/( 30 -5P + P2)

    If P = Rs. 5, ed = (-5 + 10) x 5/( 3010 +

    25) = 50/45 = 1.1,

    Find ed when P = Rs.3/2, Rs 10

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    Demand schedule

    Price Rs. Quantity demanded

    6 50

    5 72

    4 112.5

    3 200

    2 450

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    Elasticity .

    The interesting feature of this type of

    demand function is that price elasticity of

    demand is constant and is equal to to theexponent of P.

    Let P = 3, ed = P/Q> dQ/dP = 3/200X

    3600/27 = -2, Let P = 2, ed = 2/450X -3600/8 = -2

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    Elasticity

    If Q = 20/(P + 1), find elasticity with

    respect to price.

    Now dQ/dP = -20( P +1)-2,

    Ed = P/Q. dQ/dP = P/Q X -20P/ Q( P + 1)2

    = -20P/20/(P + 1)( P + 1)2 = -P/( P + 1)

    If, P = 5, ed = -5/6 = .833

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    Income elasticity

    Q. If income increases from Rs. 80,000 toRs. 81000, the quantity demanded of good

    Q1 increases from 3000 to 3050, findincome elasticity of demand.

    Given a small change in income, we usepoint elasticity method, therefore

    Ed (income) = I/Q1XdQ1/dI=(80000/3000) X 50/1000 = 1.33

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    Cross price elasticity of demand

    The price of desktop computers declines from

    Rs.50,000 to rs.25,000, sale of printers goes up

    from 50 to 150 per month: Ed (cross price) = dQx/dPy x Py/Qx, Since the the

    change is large, we use arc elasticity measure, so

    Qx = (50 + 150)/2 = 100,

    Py = (50000 + 25000)/2 = 37500, dQx = 100, and

    dPy = 25000, Ed = 100/25000(37500/100) = - 1.5

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    Elasticity

    If price elasticity of petrol is 0.5, how much

    of price increase would be required to

    reduce consumption by 10%? Ed = (dQ/Q)/ dP/P= 0.5

    Now dQ/Q = 10% = 0.1, so dP/P = .1/.5= .2

    or 20%

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    Elasticity of demand

    Elasticity of demand can also be expressed

    as: ed = Marginal quantity demanded

    divided by Average quantity demanded=Q/ P divided by Q/P,

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    Determinants of price elasticity

    Availability of substitutes: Cases of closesubstitutes like cold drinks and no substitutes likesalt

    Number of uses for a commodity: greater usesleads to greater elasticity like for electricity, whenrestricted uses like for wheat demand is relativelyinelastic

    Relative importance of a commodity in totalexpenditure of a consumer: Salt/ match box casesvs cloth/ readymade garments. Consider theimpact of doubling of their prices on total demandof consumer

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    Determinants of elasticity continued

    Nature of the need being satisfied by a

    commodity, like necessities, comforts, luxuries

    Time allowed for adjustment to price change, thelonger the time period

    greater the elasticity and vice versa

    * Habits tend to make demand inelastic

    * Joint demand like for machine oil and machines

    makes demand relatively inelastic

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    Determinants of elasticity continued

    Nature of the need being satisfied by a

    commodity, like necessities, comforts, luxuries

    Time allowed for adjustment to price change, thelonger the time period

    greater the elasticity and vice versa

    * Habits tend to make demand inelastic

    * Joint demand like for machine oil and machines

    makes demand relatively inelastic

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    Distinctive types of elasticity

    Industry elasticity:

    Refers to the change in total industry sales

    with a change in the general level of pricesfor the industry as a whole. The industry

    demand has elasticity with respect to

    competition from other industries.

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    Distinctive types of el

    Market share elasticity:

    Relates the change in companys share of

    industry-wide sales to the price differentialbetween the companys price and industry-

    wise price level.

    Expectations elasticity:

    Refers to responsiveness of sales to buyers

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    Distinctive types.

    guesses about the values of demand determinants, such asthe future price of a commodity or of its substitutes, futureincomes of buyers, prospects of easy availability or

    otherwise in the future, or future promotional outlays.

    Interest rate elasticity and demand for consumersdurables:

    In USA elasticity of interest rates to housing demand isestimates at .15 which means a ten per cent increase ininterest rates would result in 1.5% change in housingdemand.

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    Engles Law of Consumption

    Dr. Engle was a German statistician.

    He made a study of family budgets around themiddle of the nineteenth century

    He arrived at the following major conclusions:

    i) As income increases the percentage expenditureon food decreases and vice versa

    ii) The percentage expenditure on clothing, etc.remains more or less constant at all levels ofincome

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    Engles

    iii) The percentage expenditure on fuel, light,

    rent, etc. also remains practically the same

    at all levels of income.iv) However, the percentage expenditure on

    what may be called comforts and luxuries

    of life increases with increase in incomeand vice versa.

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    Propensity to consume and save

    concepts These are macro-economic concepts.

    The propensity to consume refers to theproportion of income consumed

    Average propensity to consume refers to economyas a whole, say like C/I

    Marginal propensity to consume refers to the

    proportion of change in consumption toproportion of change in income, say, C/ Iincome to

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    Propensity to save and consume..

    The propensity to save is reverse of

    propensity to consume.

    The concepts, especially marginalpropensity to consume and save, exercise

    considerable influence on the growth

    performance of an economy

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    Propensity continued

    A higher marginal propensity to consume

    leads to faster economic growth through its

    multiplier effects, unless there existbottlenecks on the supply side like in the

    developing world

    The propensity to consume declines asincomes keep on increasing

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    Hyperbolic demand functions

    Q = ap-n or Q = a/Pn where a and n are

    constants,

    Suppose a = 1800 and n = 2, demand funct

    Q = 1800/P2 = 1800x p-2 , the resulting demandschedule at different prices can be as follows: