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Consumer Choice, Demand and Utility
1
Utility Analysis
 Utility
 Satisfaction derived from consumption
 Subjective
 Assumption
 Tastes are given
 Tastes are relatively stable
2
Total Utility & Marginal
Utility
 Total utility
 Total satisfaction
 Marginal utility
 Change in total utility from one-unit change in
consumption
3
4
The Law of Diminishing
Marginal Utility
 The more of a good consumed
 The smaller the increase in total utility
 Marginal utility from each additional unit
 Declines as more is consumed
 Disutility
 Negative marginal utility
5
Measuring Utility
 Units of utility
 Each person has a unique subjective utility scale
 Two Approaches:
 Cardinal
 Ordinal
6
Utility Derived from Drinking
Water After Jogging Four Miles
7
Total Utility and Marginal Utility You Derive from
Drinking Water after Jogging Four Miles
Total utility increases with each of the
first 4 glasses of water consumed but
by smaller and smaller amounts
The 5th glass causes TU to fall
Marginal utility declines
MU of the 5th glass is negative
5
Glasses (8-ounce)
4
3
2
1
0
20
40
60
80
Total
utility
(a) Total utility (b) Marginal utility
5
Glasses (8-ounce)
4
3
2
1
0
20
40
Marginal
utility
8
9
Utility Maximization
Without Scarcity
 Free good
 Increase consumption as marginal utility is positive
 Two free goods
 Until the marginal utility of each is 0
 Tastes, preferences
10
Total and Marginal Utilities from
Tea and Rice
Tea Rice
Consumed
per Week
Total
Utility
Marginal
Utility
Marginal
Utility per
Rupee if
P=Rs. 8
Consumed
per Week
Total
Utility
Marginal
Utility
Marginal
Utility per
Rupee if
P=Rs. 4
0 0 __ __ 0 0 __ __
1 56 56 7 1 40 40 10
2 88 32 4 2 68 28 7
3 112 24 3 3 88 20 5
4 130 18 2.25 4 100 12 3
5 142 12 1.5 5 108 8 2
6 150 8 1 6 114 6 1.5
11
Utility Maximization With
Scarcity
 Goods – not free
 Tastes, preferences
 Limited income
 Maximize utility
 Equilibrium
 Any affordable change will reduce utility 12
Utility-Maximizing Conditions
 Equilibrium
 There is no way to increase utility by reallocating the
budget
 Last Rupee spent on each good yields the same marginal
utility
R
R
T
T
p
MU
p
MU

13
Equi-marginal Principle of Utility
14
Total and Marginal Utilities from Tea and Rice After
the Price of Tea Decreases from Rs.8 to Rs.6
Tea Rice
Consumed
per Week
Total
Utility
Marginal
Utility
Marginal
Utility per
Rupee if
P=Rs. 6
Consumed
per Week
Total
Utility
Marginal
Utility
Marginal
Utility per
Rupee if
P=Rs. 4
0 0 __ __ 0 0 __ __
1 56 56 9.33 1 40 40 10
2 88 32 5.33 2 68 28 7
3 112 24 4 3 88 20 5
4 130 18 3 4 100 12 3
5 142 12 2 5 108 8 2
6 150 8 1.33 6 114 6 1.5
15
Marginal Utility and
the Law of Demand
 Max U; budget = Rs.40
 QT = 3; PT =Rs.8; one point on D curve
 (QR = 4 ; PR = Rs.4)
 Price of Tea drops to Rs.6, other things constant
 Max U; budget = Rs.40
 QT = 4; PT = Rs.6; second point on D curve
 (QR = 4 ; PR = Rs.4)
16
Demand for Tea Generated from
Marginal Utility
2
4
6
Rs.8
Price
per
Tea
Tea per week
3
2
1
0 4
D
a
b
P=Rs.8, consumer equilibrium at
Q=3
MU per Rupee is the same for all
goods consumed
P=Rs.6, consumer equilibrium at
Q=4
17
18
MUX
19
Festive Offer Only FOR
TODAY!!!!!!!
1st Burger at Rs. 55
2nd Burger at Rs. 50
3rd Burger at Rs. 45
4th Burger at Rs. 40
5th Burger at Rs. 35
Consumer Surplus
– Value of a good purchased must at least
equal the P
 D curve
– Marginal valuation
 Consumer surplus
– Consumer bonus
– Value of total utility minus total spending
– Area under D, above P 20
Consumer Surplus from Sub Sandwiches
D
2
4
6
Rs.8
Price
per
subs
7
5
3
1
Subs per
month
3
2
1
0 4 5 6 7 8
At P=Rs.4:
•1st sub valued at Rs.7
•2nd sub valued at Rs.6
•3rd sub valued at Rs.5
•4th sub valued at Rs.4
•Willing to pay Rs.22 for 4 subs
•Pays only Rs.16 for 4 subs
•Consumer surplus
Rs.22-Rs.16 = Rs.6
When P drops to Rs.3, consumer surplus increases by Rs.4 21
Market D and
Consumer Surplus
 Market D curve
– Horizontal sum of individual D curves
– Total quantity demanded, per period, by all consumers, at
various prices
 Consumer surplus for the market
– Amount consumers are willing to pay minus amount they pay
– Net benefit for consumers
– Economic welfare
22
Summing Individual Demand Curves to Derive
Market Demand for Sub Sandwiches
0 2 4 6
Price
2
4
$6
dY
(a) You
0 2 4
2
4
$6
dS
(b) Sandy
Subs per month
0 2
2
4
$6
dC
(c) Crains
0 2 6 12
2
4
$6
dY+dS+dC=D
(d) Market demand
for subs
Market demand curve is the horizontal sum of individual demand curves 23
Market Demand and Consumers Surplus
0 Quantity per period
D
1
Rs.2
Price
per
unit
Consumer surplus at a price of
Rs.2 is shown by the blue area.
If the price falls to Rs.1, consumer
surplus increases to include the
green area.
At a zero price, consumer surplus
increases to the entire area under
the D curve.
24
Ordinal Approach-Indifference
Curves and Utility Maximization
 Indifference curve
– Combinations of goods
– Same total utility
– Slope downward to right
– Convex to origin
25
An Indifference Curve
I
2
3
4
5
10
8
Rice
per
week a
b
c
d
1 2 3 4 5 10
Tea per week
0
An indifference curve (I) shows all
combinations of two goods that
provide a particular consumer with
the same total utility.
Indifference curve:
• negative slope
• convex to origin
26
Indifference Curves and
Utility Maximization
 Marginal rate of substitution MRS
– Willingness to trade
– Slope of indifference curve
 Law of diminishing MRS
– Diminishing slope of I curve
27
Indifference Curves and
Utility Maximization
 Indifference map
– Graphical representation of consumer’s tastes
– Each I: different utility levels
– The further indifference curve from origin
• The higher the utility
• More of both goods
28
An Indifference Map
I1
5
10
Rice
per
week
5 10
Tea per week
0
I2
I3
I4
Indifference curves I1 through
I4 are examples from a
consumer’s particular
indifference map.
Indifference curves farther
from origin depict higher
levels of utility.
A line intersects each higher
indifference curve, reflecting
more of both goods.
29
Indifference Curves Do Not Intersect
Rice
per
week
Tea per week
0
I’
I
i
k
j
If indifference curves crossed (i)
every point on I and every point on
I’ would have to reflect the same
level of utility as i.
Indifference curves cannot intersect
k: more Tea and Rice than
j; higher utility than j
30
31
X2
A Budget Line
 The budget line
– Combinations of goods
– Able to buy
– Consumption possibilities
frontier
 Slope of budget line:
A Budget Line
5
10
Rice
per
week
5 10
Tea per week
0
Slope = -pT / pR = -Rs.8/Rs.4 = -2
Slope = -2: the price of 1 Tea is 2 Rice.
Budget line: all combinations of Tea and Rice that
can be purchased at fixed prices with a given income.
33
Indifference Curves and Utility
Maximization
R
R
T
T
R
T
R
T
p
MU
p
MU
MU
MU
MRS
p
p
MRS










 Consumer equilibrium at the tangency
– Maximize utility
– Indifference curve tangent to budget line
34
Utility Maximization
I1
I2
I3
e
5
10
Rice
per
week
4
5 10
Tea per week
0 3
A consumer’s utility is maximized at
point e, where indifference curve I2 is
tangent to the budget line.
a
35
36
Other Shapes of Indifference Curves
37
Indifference Curves and Utility
Maximization
 Effects of a change in price
– Derive the D curve
1. Income effect
2. Substitution effect
38
Effect of a Drop in the Price of Tea
D
I”
I
e
5
10
Rice
per
week
4
e”
5
Tea per week
0 3 4 6.67
e
Rs.8
Price
per
Tea
6
e”
Tea per week
0 3 4
(a) (b)
A reduction in the price of Tea rotates
the budget line rightward.
The consumer is back in equilibrium
at point e” along the new budget line.
A drop in price of Tea increases
quantity demanded.
39
Substitution and Income Effects of a Drop in the
Price of Tea from Rs.8 to Rs.4
I
I*
e
e*
5
10
Rice
per
week
4
C
e’
5 10
Tea per week
0 3 F
4
Income
effect
Substitution
effect
A reduction in the price of Tea moves the
consumer from e to e*.
Substitution effect: e to e’; consumer’s reaction
to a change in relative prices along the
original indifference curve.
Income effect: e’ to e*; moves the
consumer to a higher indifference
curve at the new relative price ratio.
40
41
42
Price Consumption Curve
Income Consumption Curve (ICC)
43
Good x is inferior good
44
ICC for Necessity and Luxury
45
ICC for Perfect Substitutes and
Perfect Complements
46
Engel Curve (EC)
X is necessity X is Luxury X is Inferior
Questions???
47

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Consumer Behaviour, Utility.pptx

  • 1. Consumer Choice, Demand and Utility 1
  • 2. Utility Analysis  Utility  Satisfaction derived from consumption  Subjective  Assumption  Tastes are given  Tastes are relatively stable 2
  • 3. Total Utility & Marginal Utility  Total utility  Total satisfaction  Marginal utility  Change in total utility from one-unit change in consumption 3
  • 4. 4
  • 5. The Law of Diminishing Marginal Utility  The more of a good consumed  The smaller the increase in total utility  Marginal utility from each additional unit  Declines as more is consumed  Disutility  Negative marginal utility 5
  • 6. Measuring Utility  Units of utility  Each person has a unique subjective utility scale  Two Approaches:  Cardinal  Ordinal 6
  • 7. Utility Derived from Drinking Water After Jogging Four Miles 7
  • 8. Total Utility and Marginal Utility You Derive from Drinking Water after Jogging Four Miles Total utility increases with each of the first 4 glasses of water consumed but by smaller and smaller amounts The 5th glass causes TU to fall Marginal utility declines MU of the 5th glass is negative 5 Glasses (8-ounce) 4 3 2 1 0 20 40 60 80 Total utility (a) Total utility (b) Marginal utility 5 Glasses (8-ounce) 4 3 2 1 0 20 40 Marginal utility 8
  • 9. 9
  • 10. Utility Maximization Without Scarcity  Free good  Increase consumption as marginal utility is positive  Two free goods  Until the marginal utility of each is 0  Tastes, preferences 10
  • 11. Total and Marginal Utilities from Tea and Rice Tea Rice Consumed per Week Total Utility Marginal Utility Marginal Utility per Rupee if P=Rs. 8 Consumed per Week Total Utility Marginal Utility Marginal Utility per Rupee if P=Rs. 4 0 0 __ __ 0 0 __ __ 1 56 56 7 1 40 40 10 2 88 32 4 2 68 28 7 3 112 24 3 3 88 20 5 4 130 18 2.25 4 100 12 3 5 142 12 1.5 5 108 8 2 6 150 8 1 6 114 6 1.5 11
  • 12. Utility Maximization With Scarcity  Goods – not free  Tastes, preferences  Limited income  Maximize utility  Equilibrium  Any affordable change will reduce utility 12
  • 13. Utility-Maximizing Conditions  Equilibrium  There is no way to increase utility by reallocating the budget  Last Rupee spent on each good yields the same marginal utility R R T T p MU p MU  13
  • 15. Total and Marginal Utilities from Tea and Rice After the Price of Tea Decreases from Rs.8 to Rs.6 Tea Rice Consumed per Week Total Utility Marginal Utility Marginal Utility per Rupee if P=Rs. 6 Consumed per Week Total Utility Marginal Utility Marginal Utility per Rupee if P=Rs. 4 0 0 __ __ 0 0 __ __ 1 56 56 9.33 1 40 40 10 2 88 32 5.33 2 68 28 7 3 112 24 4 3 88 20 5 4 130 18 3 4 100 12 3 5 142 12 2 5 108 8 2 6 150 8 1.33 6 114 6 1.5 15
  • 16. Marginal Utility and the Law of Demand  Max U; budget = Rs.40  QT = 3; PT =Rs.8; one point on D curve  (QR = 4 ; PR = Rs.4)  Price of Tea drops to Rs.6, other things constant  Max U; budget = Rs.40  QT = 4; PT = Rs.6; second point on D curve  (QR = 4 ; PR = Rs.4) 16
  • 17. Demand for Tea Generated from Marginal Utility 2 4 6 Rs.8 Price per Tea Tea per week 3 2 1 0 4 D a b P=Rs.8, consumer equilibrium at Q=3 MU per Rupee is the same for all goods consumed P=Rs.6, consumer equilibrium at Q=4 17
  • 19. 19 Festive Offer Only FOR TODAY!!!!!!! 1st Burger at Rs. 55 2nd Burger at Rs. 50 3rd Burger at Rs. 45 4th Burger at Rs. 40 5th Burger at Rs. 35
  • 20. Consumer Surplus – Value of a good purchased must at least equal the P  D curve – Marginal valuation  Consumer surplus – Consumer bonus – Value of total utility minus total spending – Area under D, above P 20
  • 21. Consumer Surplus from Sub Sandwiches D 2 4 6 Rs.8 Price per subs 7 5 3 1 Subs per month 3 2 1 0 4 5 6 7 8 At P=Rs.4: •1st sub valued at Rs.7 •2nd sub valued at Rs.6 •3rd sub valued at Rs.5 •4th sub valued at Rs.4 •Willing to pay Rs.22 for 4 subs •Pays only Rs.16 for 4 subs •Consumer surplus Rs.22-Rs.16 = Rs.6 When P drops to Rs.3, consumer surplus increases by Rs.4 21
  • 22. Market D and Consumer Surplus  Market D curve – Horizontal sum of individual D curves – Total quantity demanded, per period, by all consumers, at various prices  Consumer surplus for the market – Amount consumers are willing to pay minus amount they pay – Net benefit for consumers – Economic welfare 22
  • 23. Summing Individual Demand Curves to Derive Market Demand for Sub Sandwiches 0 2 4 6 Price 2 4 $6 dY (a) You 0 2 4 2 4 $6 dS (b) Sandy Subs per month 0 2 2 4 $6 dC (c) Crains 0 2 6 12 2 4 $6 dY+dS+dC=D (d) Market demand for subs Market demand curve is the horizontal sum of individual demand curves 23
  • 24. Market Demand and Consumers Surplus 0 Quantity per period D 1 Rs.2 Price per unit Consumer surplus at a price of Rs.2 is shown by the blue area. If the price falls to Rs.1, consumer surplus increases to include the green area. At a zero price, consumer surplus increases to the entire area under the D curve. 24
  • 25. Ordinal Approach-Indifference Curves and Utility Maximization  Indifference curve – Combinations of goods – Same total utility – Slope downward to right – Convex to origin 25
  • 26. An Indifference Curve I 2 3 4 5 10 8 Rice per week a b c d 1 2 3 4 5 10 Tea per week 0 An indifference curve (I) shows all combinations of two goods that provide a particular consumer with the same total utility. Indifference curve: • negative slope • convex to origin 26
  • 27. Indifference Curves and Utility Maximization  Marginal rate of substitution MRS – Willingness to trade – Slope of indifference curve  Law of diminishing MRS – Diminishing slope of I curve 27
  • 28. Indifference Curves and Utility Maximization  Indifference map – Graphical representation of consumer’s tastes – Each I: different utility levels – The further indifference curve from origin • The higher the utility • More of both goods 28
  • 29. An Indifference Map I1 5 10 Rice per week 5 10 Tea per week 0 I2 I3 I4 Indifference curves I1 through I4 are examples from a consumer’s particular indifference map. Indifference curves farther from origin depict higher levels of utility. A line intersects each higher indifference curve, reflecting more of both goods. 29
  • 30. Indifference Curves Do Not Intersect Rice per week Tea per week 0 I’ I i k j If indifference curves crossed (i) every point on I and every point on I’ would have to reflect the same level of utility as i. Indifference curves cannot intersect k: more Tea and Rice than j; higher utility than j 30
  • 31. 31 X2
  • 32. A Budget Line  The budget line – Combinations of goods – Able to buy – Consumption possibilities frontier  Slope of budget line:
  • 33. A Budget Line 5 10 Rice per week 5 10 Tea per week 0 Slope = -pT / pR = -Rs.8/Rs.4 = -2 Slope = -2: the price of 1 Tea is 2 Rice. Budget line: all combinations of Tea and Rice that can be purchased at fixed prices with a given income. 33
  • 34. Indifference Curves and Utility Maximization R R T T R T R T p MU p MU MU MU MRS p p MRS            Consumer equilibrium at the tangency – Maximize utility – Indifference curve tangent to budget line 34
  • 35. Utility Maximization I1 I2 I3 e 5 10 Rice per week 4 5 10 Tea per week 0 3 A consumer’s utility is maximized at point e, where indifference curve I2 is tangent to the budget line. a 35
  • 36. 36
  • 37. Other Shapes of Indifference Curves 37
  • 38. Indifference Curves and Utility Maximization  Effects of a change in price – Derive the D curve 1. Income effect 2. Substitution effect 38
  • 39. Effect of a Drop in the Price of Tea D I” I e 5 10 Rice per week 4 e” 5 Tea per week 0 3 4 6.67 e Rs.8 Price per Tea 6 e” Tea per week 0 3 4 (a) (b) A reduction in the price of Tea rotates the budget line rightward. The consumer is back in equilibrium at point e” along the new budget line. A drop in price of Tea increases quantity demanded. 39
  • 40. Substitution and Income Effects of a Drop in the Price of Tea from Rs.8 to Rs.4 I I* e e* 5 10 Rice per week 4 C e’ 5 10 Tea per week 0 3 F 4 Income effect Substitution effect A reduction in the price of Tea moves the consumer from e to e*. Substitution effect: e to e’; consumer’s reaction to a change in relative prices along the original indifference curve. Income effect: e’ to e*; moves the consumer to a higher indifference curve at the new relative price ratio. 40
  • 41. 41
  • 43. Income Consumption Curve (ICC) 43 Good x is inferior good
  • 44. 44 ICC for Necessity and Luxury
  • 45. 45 ICC for Perfect Substitutes and Perfect Complements
  • 46. 46 Engel Curve (EC) X is necessity X is Luxury X is Inferior

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