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    Consumer Behavior : Utility

    Analysis

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    Utility

    Utility refers to want satisfying powerof a commodity.

    In objective terms, utility may be

    defined as the amount of satisfactionderived from a commodity or serviceat a particulartime.

    Assumptions: Utility can be measured. Marginal Utility of money remains constant

    No change in income of the consumer, his taste & fashion to beconstant

    No substitute

    Independent marginal utility of each unit of commodity

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    Total Utility (TU) and Marginal Utility

    (MU)

    Total Utility refers to the total satisfaction derivedby the consumer from the consumption of agiven quantity of a good.

    TU = Sum of all MU

    MU refers theadditional satisfaction from one moreunit of consumption

    The exponents of the utility analysis have developed two lawswhich occupy a very important place in economics theory andthey are :-

    # Law of Diminishing Marginal Utility

    # Law of Equi-Marginal Utility

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    Cardinal utility believes that utility

    could be measured & added (utility

    unit & marginal analysis);

    Ordinal utility holds that utility

    could only be ordered and cannot be

    measured (indifference curve).

    Cardinal Utility& Ordinal Utility

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    Law of Diminishing Marginal Utility

    Though wants of an individual are unlimited in number yeteach individual want is satiable. Because of this, the morewe have a commodity, the less we want to have more of it.

    This law state that as the amount consumed of a commodityincreases, the utility derived by the consumer from theadditional units, i.e marginal utility goes on decreasing.

    According to Marshall, The additional benefit a personderives from a given increase of his stock of a thing

    diminishes with every increase in the stock that he alreadyhas

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    Law of Diminishing Marginal Utility

    Explanation: As more and more quantity of a commodity is

    consumed, the intensity of desire decreases and alsothe utility derived from the additional unit.

    Assumptions:

    All the units of a commodity must be same in allrespects

    The unit of the good must be standard

    There should be no change in taste during the processof consumption

    There must be continuity in consumption

    There should be no change in the price of thesubstitute goods

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    Units of a goods

    consumed

    Marginal

    Utility (MU)

    Total

    utility (TU)

    1 6 6

    2 4 10

    3 2 12

    4 0 12

    5 -2 10

    6 -4 6

    Relationship between MU and TU

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    Law of Equi-Marginal Utility

    This law states that the consumer

    maximizing his total utility will allocate his

    income among various commodities in such

    a way that his marginal utility of the lastrupee spent on each commodity is equal.

    Or

    The consumer will spend his money income

    on different goods in such a way thatmarginal utility of each good is proportional

    to its price

    MU of A / P of A = MU of B / P of B

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    Limitations of Law of Equi-Marginal

    Utility

    # It is difficult for the consumer to know the

    marginal utilities from different commodities

    because utility cannot be measured.

    # Consumer are ignorant and therefore are

    not in a position to arrive at an equilibrium.

    # It does not apply to indivisible andinexpensive commodity.

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    Rupee

    Marginal Utility of

    Apples

    Marginal Utility

    of Oranges

    1 10 7

    2 8 6

    3 6 5

    4 4 4

    5 2 3

    Equi Marginal Utility

    Total Money available is Rs.5 to be spent on

    Apples and Oranges. Price of both comodities

    is Re.1 per unit.

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    A locus of points representing different bundles

    of goods and services, each of which yields

    the same level of total utility.

    Indifference curve

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    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    20

    22

    24

    26

    28

    30

    0 2 4 6 8 10 12 14 16 18 20 22

    a

    Pe

    ars

    Oranges

    Pears

    3024

    20

    14

    10

    8

    6

    Oranges

    67

    8

    10

    13

    15

    20

    Point

    ab

    c

    d

    e

    f

    g

    Constructing an indifference curve

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    0

    10

    20

    30

    0 10 20

    Deriving the marginal rate of substitution

    (MRS)a

    b

    Unitso

    fgoodY

    Units of good X

    26

    6 7

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    0

    10

    20

    30

    0 10 20

    a

    b

    Unitso

    fgoodY

    Units of good X

    26

    6 7

    DY= 4

    DX= 1

    MRS= 4

    Deriving the marginal rate of substitution

    (MRS)

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    0

    10

    20

    30

    0 10 20

    a

    b

    Unitso

    fgoodY

    Units of good X

    26

    6 7

    cd

    DY= 4

    DX= 1

    DY =1

    DX= 1

    MRS= 1

    MRS= 4

    13 14

    9

    Deriving the marginal rate of substitution

    (MRS)

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    0

    10

    20

    30

    0 10 20

    Unitso

    fgoodY

    Units of good X

    I1I2

    I3

    I4

    I5

    An indifference map

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    Unitso

    fgoodY

    Units of good X

    a

    b

    Units of

    good X

    0

    5

    10

    15

    Units of

    good Y

    30

    20

    10

    0

    Point on

    budget line

    a

    b

    Assumptions

    PX=2

    PY= 1

    Budget = 30

    0

    10

    20

    30

    0 5 10 15 20

    A budget line

    ff f i i i h

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    0

    10

    20

    30

    40

    0 5 10 15 20

    Unitso

    fgoodY

    Units of good X

    Assumptions

    PX=2PY= 1

    Budget = 40

    16

    7

    m

    n

    Budget

    = 40

    Budget

    = 30

    Effect of an increase in income on the

    budget line

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    0

    10

    20

    30

    0 5 10 15 20 25 30

    Effect on the budget line of a fall in the price

    of good X

    Unitso

    fgoodY

    Units of good X

    Assumptions

    PX=1PY= 1

    Budget = 30

    B1 B2

    a

    b c

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    I1I2

    I3

    I4

    I5

    Unitsof

    goodY

    O

    Units of good X

    Budget line

    Finding the optimum consumption

    S l f i diff d

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    I1I2

    I3

    I4

    I5

    Unitsof

    goodY

    O

    Units of good X

    r

    s

    tY1

    X1

    v

    u

    Same slope at tof indifference curve and

    budget line

    Eff i f h i i

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    Unitsof

    goodY

    O

    Units of good X

    B1

    Effect on consumption of a change in income

    I1

    Eff t ti f h i i

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    I2

    Unitsof

    goodY

    O

    Units of good X

    B1 B2 I1

    Effect on consumption of a change in income

    Eff t ti f h i i

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    I2

    Unitsof

    goodY

    O

    Units of good X

    B1 B2 B3 B4 I1

    I3

    I4

    Effect on consumption of a change in income

    Eff t ti f h i i

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    I2

    Unitsof

    goodY

    O

    Units of good X

    B1 B2 B3 B4 I1

    I3

    I4

    Incomeconsumption curve

    Effect on consumption of a change in income

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    0

    10

    20

    30

    0 5 10 15 20 25 30

    Effect of a fall in the price of goodX

    Unitso

    fgoodY

    Units of good X

    Assumptions

    PX=2PY= 1

    Budget = 30

    B1 I1

    j

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    0

    10

    20

    30

    0 5 10 15 20 25 30

    Unitso

    fgoodY

    Units of good X

    Assumptions

    PX=1PY= 1

    Budget = 30

    B1 I1

    j

    I2

    B2

    k

    Effect of a fall in the price of goodXa

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    0

    10

    20

    30

    0 5 10 15 20 25 30

    Unitso

    fgoodY

    U i f d X

    B1 I1

    j

    I2

    B2

    k

    Priceconsumption curve

    Effect of a fall in the price of goodXa