Consumer Choice
Chapter 3
U
3
D
C
Food (units per week)
40 8020
Clothing
(units per
week)
20
30
40
0
U
1
A
B
•A, B, C on budget line
•D highest utility but not
affordable
•C highest affordable
utility
•Consumer chooses C
Consumer Choice
•Consumer will choose highest indifference
curve on budget line
•In previous graph, point C is where the
indifference curve is just tangent to the
budget line
•Slope of the budget line equals the slope
of the indifference curve at this point
Chapter 3 34
Consumer Choice
•Recall, the slope of an indifference curve
is:
Chapter 3 35F
C
MRS
C
F
P
P
Slope
Further, the slope of the budget line is:
Consumer Choice
•Therefore, it can be said at consumer’s
optimal consumption point,
Chapter 3 36C
F
P
P
MRS
Consumer Choice
•It can be said that satisfaction is
maximized when marginal rate of
substitution (of F and C) is equal to the
ratio of the prices (of F and C)
•Note this is ONLY true at the optimal
consumption point
Chapter 3 37
Consumer Choice
•Optimal consumption point is where
marginal benefits equal marginal costs
•MB = MRS = benefit associated with
consumption of 1 more unit of food
•MC = cost of additional unit of food
–1 unit food = ½ unit clothing
–P
F
/P
C
Chapter 3 38
Consumer Choice
•If MRS ≠ P
F/P
Cthen individuals can
reallocate basket to increase utility
•If MRS > P
F/P
C
–Will increase food and decrease clothing until
MRS = P
F
/P
C
•If MRS < P
F/P
C
–Will increase clothing and decrease food until
MRS = P
F
/P
C
Chapter 3 39
Consumer Choice
Chapter 3
40
Food (units per week)
Clothing
(units per
week)
40 8020
20
30
40
0
Point Bdoes not
maximize satisfaction
because the
MRS = -10/10 = 1
is greater than the
price ratio = 1/2
+10F
U
1
-10C
B
Consumer Choice:
An Application Revisited
•Consider two groups of consumers, each
wishing to spend $10,000 on the styling
and performance of a car
•Each group has different preferences
Chapter 3 41
A Corner Solution
Chapter 3
Ice Cream (cup/month)
Frozen
Yogurt
(cups
monthly)
B
A
U
2U
3U
1
A corner solution
exists at point B.
A Corner Solution
•At point B, the MRS of ice cream for frozen yogurt is
greater than the slope of the budget line
•If the consumer could give up more frozen yogurt for
ice cream, he would do so
•However, there is no more frozen yogurt to give up
•Opposite is true if corner solution was at point A
Chapter 3 48
A Corner Solution -Example
Chapter 3 54
P
Q Education ($)
Other
Consumption
($)
U
2
A
U
1
B
•If gift is
unrestricted, Jane
can be at point C
on U
3
•Better off than
with restricted gift
Revealed Preferences –
Two Budget Lines
Chapter 3 57
l
1
l
2
B
A
Food (units per month)
Clothing
(units per
month)
D
All market baskets
in the pink
shaded area are
preferred to A.
B is
preferred to
all market
baskets
in the yellow
area
Marginal Utility and
Consumer Choice
•MU of any good is the rate at which total U
changes as the consumption rises, holding
constant the levels of consumption of all
other goods.
•MU of food measures how the level of
satisfaction changes (ΔU) in response to
change in the consumption of food (ΔF)
holding consumption of clothing constant.
Chapter 3 63 FUMU
F
/
Marginal Utility and
Consumer Choice
•Similarly, MU of food measures how the level of
satisfaction changes (ΔU) in response to change in the
consumption of Clothing (ΔC) holding consumption of
Food constant.
•Since all points on IC generate same level of U, the gain
in utility from an increase in Food consumption must
exactly equal to loss in utility from a decrease in
consumption if clothing.
Chapter 3 64 CUMU
C
/