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Lecture 2
September 10, 2013 1Hellen A. Seshie-Nasser
Consumer Choice
Marginal Utility Theory
Consumer surplus
Budget Constraints
Indifference Curve Theory
Revealed Preference Theory
September 10, 2013 2Hellen A. Seshie-Nasser
Consumer Choice
Today’s lecture will cover
 Marginal Utility Theory
 Consumer surplus
 Budget Constraints
September 10, 2013 3Hellen A. Seshie-Nasser
I. Marginal Utility Theory
 what is UTILITY?
 benefit you get from consuming a good
 determined by your tastes/preferences
(assuming these are stable)
The value a consumer places on a unit of a good or service
depends on the pleasure or satisfaction he or she expects
to derive from having or consuming it at the point of
making a consumption (consumer) choice.
September 10, 2013 4Hellen A. Seshie-Nasser
Total utility (TU)
 total benefit from consuming good
 example
 total benefit from 3 biscuits/cookies
September 10, 2013 5Hellen A. Seshie-Nasser
TU increases as consumption
increases, to a point
<
TU 2 cookies TU 3 cookies
September 10, 2013 6Hellen A. Seshie-Nasser
Marginal utility (MU)
 MU is the change in TU from consuming one more of a
good
 example
 how much MORE utility from
an additional mobile phone?
September 10, 2013 7Hellen A. Seshie-Nasser
change in TU from
0 to 1 biscuit/cookie
change in TU from
1 cookie to 2 cookies
MU of 1st Biscuit/
cookie
MU of 2nd cookie
=
=
0
September 10, 2013 8Hellen A. Seshie-Nasser
Diminishing marginal utility
 MU falls as consumption rises
 You get sick of biscuits as you each more of it.
 The more kenkey you consume the less you’ll want to
each eat it.
September 10, 2013 9Hellen A. Seshie-Nasser
MU of 1st cookie
> MU of 2nd cookie
0
September 10, 2013 10Hellen A. Seshie-Nasser
TU
cookie
TU rises at
slower and
slower rate
as MU
declines
MU
cookie
September 10, 2013 11Hellen A. Seshie-Nasser
Consumer Equilibrium: How to
maximize TU?
 Equalize MU to price of the good (single good case)
 equalize MU/price across goods (Multiple goods case)
“The real case”
 use available budget
September 10, 2013 12Hellen A. Seshie-Nasser
Consumer equilibrium
Balls of
kenkey
Total Utility
(in utils)
Marginal
Utility/Benefit
0 0 0
1 8 8
2 14 6
3 19 5
4 23 4
5 25 2
6 26 1
7 26 0
8 24 -2
How many balls of kenkey would you buy
if the price per ball was Gh¢1?
Marginal Cost
Gh¢1
Gh¢1
Gh¢1
Gh¢1
Gh¢1
Gh¢1
Gh¢1
Gh¢1
Gh¢1
13September 10, 2013 Hellen A. Seshie-Nasser
Marginal utility = Price
MUx =Px
Chose combination of kenkey and
phone units where
price of kenkey price of phone units
MU kenkey
=
MU phone units
September 10, 2013 14Hellen A. Seshie-Nasser
why?
 Chose 6 balls of kenkey, one 1-cedit worth
of phone credit
 suppose MU/Gh¢1 of cookies = 4,
MU/Gh¢1 of Phone units = 15
 by consuming fewer balls of kenkey and
more phone credits…
You would add more to my TU
September 10, 2013 15Hellen A. Seshie-Nasser
Utility Maximizing Rule
The consumer’s money should be spent so that
the marginal utility per dollar of each goods
equal each other.
MUx = MUy
16
Px Py
September 10, 2013 Hellen A. Seshie-Nasser
Thus, the utility maximizing rule assumes that you
always consume where MU/P for each product is equal
September 10, 2013 Hellen A. Seshie-Nasser 17
Assume apples cost $1 each and oranges cost $2 each.
(If the consumer has $7), identify the combination that
maximizes utility.
Example
TU vs. MU: The Paradox of Value
 Diamond-Water paradox
 Gh¢10,000 for example can be used to purchase either
 one carat diamond
Or
 5 million gallons of tap water
September 10, 2013 18Hellen A. Seshie-Nasser
why?
 TU of water is greater than TU of diamonds
 water is essential for life
 BUT water is abundant, diamonds are rarer
 MU of last diamond is higher
 MU determines value
 When diamonds are scarce and drinking water is
abundant, marginal utility of a diamond ring is much
higher than the marginal utility of water. Although the
total utility of water may be greater than that of
diamond rings.
September 10, 2013 19Hellen A. Seshie-Nasser
 Stranded on a desert island with no water, one may be
happy, though, to trade his diamond ring for a bottle of
drinking water.
Under such conditions, the marginal utility of water must
be greater that that of a diamond ring.
September 10, 2013 Hellen A. Seshie-Nasser 20
MU and demand
 MU declines as consumption rises
 Price = MU
 willingness to pay is less for each additional unit
Hence
 downward sloping demand
 The more consumed the less willingness to pay, hence
the lesser price offered for the product.
September 10, 2013 21Hellen A. Seshie-Nasser
example : balls of kenkey
P
Q
D
Gh¢1.0
4 balls
for 4th ball of
kenkey
willing to pay Gh¢1.
for 2nd ball of kenkeyGh¢1.5
2 balls
willing to pay Gh¢1.5
September 10, 2013 22Hellen A. Seshie-Nasser
II. Consumer Surplus
 It is the difference between what you pay for a good
and what you are WILLING to pay for the good
Example:
 market price of a ball of kenkey = Gh¢1.0
 your marginal value of the 3rd ball is = Gh¢12
 Your consumer surplus then is = Gh¢2
September 10, 2013 23Hellen A. Seshie-Nasser
P
Q
D
$10
The demand curve
$12
3
your consumer surplus
September 10, 2013 24Hellen A. Seshie-Nasser
P
Q
D
Gh¢1.0
10,000
total consumer surplus
area between D
and price of kenkey
September 10, 2013 25Hellen A. Seshie-Nasser
III. The Budget Line
 A budget constraint is a constraint on how much
money (income, wealth) an economic agent can spend
on goods. We denote the amount of available income
by M
 given:
 consumer’s budget
 prices
 draw a line representing choices
 consumption possibilities
September 10, 2013 26Hellen A. Seshie-Nasser
example
 2 goods: bread & kenkey
 A loaf of bread = Gh¢1.0
 A ball of kenkey = Gh¢0.5
 daily budget = Gh¢4.0
September 10, 2013 27Hellen A. Seshie-Nasser
Possible Combinations
kenkey bread
0
2
4
6
8
4
3
2
1
0
September 10, 2013 28Hellen A. Seshie-Nasser
budget line
Bread
Kenkey
8
4
2
6
0
421 3
September 10, 2013 29Hellen A. Seshie-Nasser
budget line
Bread
kenkey
8
4
2
6
0
421 3
Affordable
Unaffordable
September 10, 2013 30Hellen A. Seshie-Nasser
Mathematically
Let Px= price of good X
Py = price of good Y
M = Income of the consumer
Assuming the consumer spends all his/her income on
only two goods, X and Y
Then the budget equation is given by;
Px + Py = M
September 10, 2013 Hellen A. Seshie-Nasser 31
Changes in Money Income
 Changes in the consumer’s income
 budget line shifts
 Increases in income shift the budget line outward away
from the origin, and vice versa
 suppose a consumer income changes from Gh¢5 to
Gh¢4
September 10, 2013 32Hellen A. Seshie-Nasser
bread
kenkey
budget = Gh¢4
budget = Gh¢5
8
4
2
6
0
10
421 3 5
September 10, 2013 33Hellen A. Seshie-Nasser
Changes in Relative prices
Changes in one price, holding other prices and income
constant;
 changes slope of budget line
 Suppose price of kenkey rises from Gh¢.5 to Gh¢1.0
September 10, 2013 34Hellen A. Seshie-Nasser
Changes in Relative prices
bread
kenkey
8
4
2
6
0
421 3
kenkey = $.50
kenkey = $1
September 10, 2013 35Hellen A. Seshie-Nasser
Changes in Relative prices
 Changes in the prices of goods lead to changes in the
real income of the consumer. He therefore buys less of
one or both goods.
 He can choose to buy less amount of the relatively
expensive good and more or the same quantity of the
relatively cheap good
 Or the same quantity of the relatively expensive good
and less of the relatively expensive good.
September 10, 2013 36Hellen A. Seshie-Nasser
Exercise
Assume apples cost $1 each and oranges cost $2 each. If
the consumer has $7, identify the combination that
maximizes utility.
Find the quantities of apple and oranges the consumer
will purchase if
a. Price of oranges falls to $1
b. Income of the consumer increases to $10
c. Price of apples rises to $1.5
September 10, 2013 37Hellen A. Seshie-Nasser
sum it up
 consumer decisions are based on
 preferences
 budget constraint
 consumer decisions are made at the margin
 marginal benefit of one more
 compared to price of one more
September 10, 2013 38Hellen A. Seshie-Nasser

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CONSUMER THEORY

  • 1. Lecture 2 September 10, 2013 1Hellen A. Seshie-Nasser
  • 2. Consumer Choice Marginal Utility Theory Consumer surplus Budget Constraints Indifference Curve Theory Revealed Preference Theory September 10, 2013 2Hellen A. Seshie-Nasser
  • 3. Consumer Choice Today’s lecture will cover  Marginal Utility Theory  Consumer surplus  Budget Constraints September 10, 2013 3Hellen A. Seshie-Nasser
  • 4. I. Marginal Utility Theory  what is UTILITY?  benefit you get from consuming a good  determined by your tastes/preferences (assuming these are stable) The value a consumer places on a unit of a good or service depends on the pleasure or satisfaction he or she expects to derive from having or consuming it at the point of making a consumption (consumer) choice. September 10, 2013 4Hellen A. Seshie-Nasser
  • 5. Total utility (TU)  total benefit from consuming good  example  total benefit from 3 biscuits/cookies September 10, 2013 5Hellen A. Seshie-Nasser
  • 6. TU increases as consumption increases, to a point < TU 2 cookies TU 3 cookies September 10, 2013 6Hellen A. Seshie-Nasser
  • 7. Marginal utility (MU)  MU is the change in TU from consuming one more of a good  example  how much MORE utility from an additional mobile phone? September 10, 2013 7Hellen A. Seshie-Nasser
  • 8. change in TU from 0 to 1 biscuit/cookie change in TU from 1 cookie to 2 cookies MU of 1st Biscuit/ cookie MU of 2nd cookie = = 0 September 10, 2013 8Hellen A. Seshie-Nasser
  • 9. Diminishing marginal utility  MU falls as consumption rises  You get sick of biscuits as you each more of it.  The more kenkey you consume the less you’ll want to each eat it. September 10, 2013 9Hellen A. Seshie-Nasser
  • 10. MU of 1st cookie > MU of 2nd cookie 0 September 10, 2013 10Hellen A. Seshie-Nasser
  • 11. TU cookie TU rises at slower and slower rate as MU declines MU cookie September 10, 2013 11Hellen A. Seshie-Nasser
  • 12. Consumer Equilibrium: How to maximize TU?  Equalize MU to price of the good (single good case)  equalize MU/price across goods (Multiple goods case) “The real case”  use available budget September 10, 2013 12Hellen A. Seshie-Nasser
  • 13. Consumer equilibrium Balls of kenkey Total Utility (in utils) Marginal Utility/Benefit 0 0 0 1 8 8 2 14 6 3 19 5 4 23 4 5 25 2 6 26 1 7 26 0 8 24 -2 How many balls of kenkey would you buy if the price per ball was Gh¢1? Marginal Cost Gh¢1 Gh¢1 Gh¢1 Gh¢1 Gh¢1 Gh¢1 Gh¢1 Gh¢1 Gh¢1 13September 10, 2013 Hellen A. Seshie-Nasser
  • 14. Marginal utility = Price MUx =Px Chose combination of kenkey and phone units where price of kenkey price of phone units MU kenkey = MU phone units September 10, 2013 14Hellen A. Seshie-Nasser
  • 15. why?  Chose 6 balls of kenkey, one 1-cedit worth of phone credit  suppose MU/Gh¢1 of cookies = 4, MU/Gh¢1 of Phone units = 15  by consuming fewer balls of kenkey and more phone credits… You would add more to my TU September 10, 2013 15Hellen A. Seshie-Nasser
  • 16. Utility Maximizing Rule The consumer’s money should be spent so that the marginal utility per dollar of each goods equal each other. MUx = MUy 16 Px Py September 10, 2013 Hellen A. Seshie-Nasser Thus, the utility maximizing rule assumes that you always consume where MU/P for each product is equal
  • 17. September 10, 2013 Hellen A. Seshie-Nasser 17 Assume apples cost $1 each and oranges cost $2 each. (If the consumer has $7), identify the combination that maximizes utility. Example
  • 18. TU vs. MU: The Paradox of Value  Diamond-Water paradox  Gh¢10,000 for example can be used to purchase either  one carat diamond Or  5 million gallons of tap water September 10, 2013 18Hellen A. Seshie-Nasser
  • 19. why?  TU of water is greater than TU of diamonds  water is essential for life  BUT water is abundant, diamonds are rarer  MU of last diamond is higher  MU determines value  When diamonds are scarce and drinking water is abundant, marginal utility of a diamond ring is much higher than the marginal utility of water. Although the total utility of water may be greater than that of diamond rings. September 10, 2013 19Hellen A. Seshie-Nasser
  • 20.  Stranded on a desert island with no water, one may be happy, though, to trade his diamond ring for a bottle of drinking water. Under such conditions, the marginal utility of water must be greater that that of a diamond ring. September 10, 2013 Hellen A. Seshie-Nasser 20
  • 21. MU and demand  MU declines as consumption rises  Price = MU  willingness to pay is less for each additional unit Hence  downward sloping demand  The more consumed the less willingness to pay, hence the lesser price offered for the product. September 10, 2013 21Hellen A. Seshie-Nasser
  • 22. example : balls of kenkey P Q D Gh¢1.0 4 balls for 4th ball of kenkey willing to pay Gh¢1. for 2nd ball of kenkeyGh¢1.5 2 balls willing to pay Gh¢1.5 September 10, 2013 22Hellen A. Seshie-Nasser
  • 23. II. Consumer Surplus  It is the difference between what you pay for a good and what you are WILLING to pay for the good Example:  market price of a ball of kenkey = Gh¢1.0  your marginal value of the 3rd ball is = Gh¢12  Your consumer surplus then is = Gh¢2 September 10, 2013 23Hellen A. Seshie-Nasser
  • 24. P Q D $10 The demand curve $12 3 your consumer surplus September 10, 2013 24Hellen A. Seshie-Nasser
  • 25. P Q D Gh¢1.0 10,000 total consumer surplus area between D and price of kenkey September 10, 2013 25Hellen A. Seshie-Nasser
  • 26. III. The Budget Line  A budget constraint is a constraint on how much money (income, wealth) an economic agent can spend on goods. We denote the amount of available income by M  given:  consumer’s budget  prices  draw a line representing choices  consumption possibilities September 10, 2013 26Hellen A. Seshie-Nasser
  • 27. example  2 goods: bread & kenkey  A loaf of bread = Gh¢1.0  A ball of kenkey = Gh¢0.5  daily budget = Gh¢4.0 September 10, 2013 27Hellen A. Seshie-Nasser
  • 29. budget line Bread Kenkey 8 4 2 6 0 421 3 September 10, 2013 29Hellen A. Seshie-Nasser
  • 31. Mathematically Let Px= price of good X Py = price of good Y M = Income of the consumer Assuming the consumer spends all his/her income on only two goods, X and Y Then the budget equation is given by; Px + Py = M September 10, 2013 Hellen A. Seshie-Nasser 31
  • 32. Changes in Money Income  Changes in the consumer’s income  budget line shifts  Increases in income shift the budget line outward away from the origin, and vice versa  suppose a consumer income changes from Gh¢5 to Gh¢4 September 10, 2013 32Hellen A. Seshie-Nasser
  • 33. bread kenkey budget = Gh¢4 budget = Gh¢5 8 4 2 6 0 10 421 3 5 September 10, 2013 33Hellen A. Seshie-Nasser
  • 34. Changes in Relative prices Changes in one price, holding other prices and income constant;  changes slope of budget line  Suppose price of kenkey rises from Gh¢.5 to Gh¢1.0 September 10, 2013 34Hellen A. Seshie-Nasser
  • 35. Changes in Relative prices bread kenkey 8 4 2 6 0 421 3 kenkey = $.50 kenkey = $1 September 10, 2013 35Hellen A. Seshie-Nasser
  • 36. Changes in Relative prices  Changes in the prices of goods lead to changes in the real income of the consumer. He therefore buys less of one or both goods.  He can choose to buy less amount of the relatively expensive good and more or the same quantity of the relatively cheap good  Or the same quantity of the relatively expensive good and less of the relatively expensive good. September 10, 2013 36Hellen A. Seshie-Nasser
  • 37. Exercise Assume apples cost $1 each and oranges cost $2 each. If the consumer has $7, identify the combination that maximizes utility. Find the quantities of apple and oranges the consumer will purchase if a. Price of oranges falls to $1 b. Income of the consumer increases to $10 c. Price of apples rises to $1.5 September 10, 2013 37Hellen A. Seshie-Nasser
  • 38. sum it up  consumer decisions are based on  preferences  budget constraint  consumer decisions are made at the margin  marginal benefit of one more  compared to price of one more September 10, 2013 38Hellen A. Seshie-Nasser