Suppose that you want to derive and draw the demand function for Mr. Seong (also known as Player 456). Mr. Seong likes to eat Dalgona Candy (D) and drink Soju (S). Suppose Mr. Seong's preferences can be expressed as U (D, S) = (D)⁰.2. (S)0.8. Suppose further the price of a Dalgona Candy is 2 (p = 2) and the price of Soju is 4 (pS = 4). Mr. Seong has a budget of 100 to spend on the two goods. A. Use the substitution method to find Mr. Seong's optimal choice of Dalgona Candy and Soju. B. Use any method to find Mr. Seong's optimal choice of Dalgona Candy and Soju if the price

Microeconomic Theory
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Chapter4: Utility Maximization And Choice
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Suppose that you want to derive and draw the demand function for Mr. Seong (also known as
Player 456). Mr. Seong likes to eat Dalgona Candy (D) and drink Soju (S). Suppose Mr. Seong's
preferences can be expressed as U(D,S) = (D)º.² · (S)0.8. Suppose further the price of a
Dalgona Candy is 2 (pº = 2) and the price of Soju is 4 (ps = 4). Mr. Seong has a budget of 100
to spend on the two goods.
A. Use the substitution method to find Mr. Seong's optimal choice of Dalgona Candy and Soju.
B. Use any method to find Mr. Seong's optimal choice of Dalgona Candy and Soju if the price
of Soju was 5 (instead of 4). Feel free to use the Cobb-Douglas short-cut method if you
want.
C. Use your answers to A and B to derive the demand for Soju in the two diagrams below. That
is, draw the change in the top diagram and then use your result to derive the demand curve
in the bottom diagram. Several hints have been drawn in the diagram below.
D
50
10
ps
5
4
20
20
25
S
FYI: The Cobb-Douglas short-cut can be expressed as:
X = a
px
Y
That is, the demand for good X is a function of the
preference parameter (a), income, and the price of X.
S
FYI: To draw a demand curve we need to
hold all factors that affect demand constant
(such as income, preferences, and prices of
related goods). Then we change the price of
the particular good (like Soju) and see how
the quantity demanded (of Soju) changes.
Then plot the two (price, quantity)-
combinations.
There is a relationship between a diagram
that shows the constrained optimization
problem (top diagram) and the demand
curve (bottom diagram)
Transcribed Image Text:Suppose that you want to derive and draw the demand function for Mr. Seong (also known as Player 456). Mr. Seong likes to eat Dalgona Candy (D) and drink Soju (S). Suppose Mr. Seong's preferences can be expressed as U(D,S) = (D)º.² · (S)0.8. Suppose further the price of a Dalgona Candy is 2 (pº = 2) and the price of Soju is 4 (ps = 4). Mr. Seong has a budget of 100 to spend on the two goods. A. Use the substitution method to find Mr. Seong's optimal choice of Dalgona Candy and Soju. B. Use any method to find Mr. Seong's optimal choice of Dalgona Candy and Soju if the price of Soju was 5 (instead of 4). Feel free to use the Cobb-Douglas short-cut method if you want. C. Use your answers to A and B to derive the demand for Soju in the two diagrams below. That is, draw the change in the top diagram and then use your result to derive the demand curve in the bottom diagram. Several hints have been drawn in the diagram below. D 50 10 ps 5 4 20 20 25 S FYI: The Cobb-Douglas short-cut can be expressed as: X = a px Y That is, the demand for good X is a function of the preference parameter (a), income, and the price of X. S FYI: To draw a demand curve we need to hold all factors that affect demand constant (such as income, preferences, and prices of related goods). Then we change the price of the particular good (like Soju) and see how the quantity demanded (of Soju) changes. Then plot the two (price, quantity)- combinations. There is a relationship between a diagram that shows the constrained optimization problem (top diagram) and the demand curve (bottom diagram)
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