demand curve

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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Assignment 1.pdf
Question 1
The compensated (Hicksian) demand curve is always steeper than the uncompensated
(Marshallian) demand curve. True or False and Explain your answer
Question 2
Kofi's utility function is given by U«(X,Y) = XY . The utility functions of his four friends - Esi
(UE) John (U,), George (Uc) and Osei (Uo) are:
a. UE(X,Y) = 100XY
b. U,(х,Y) — -XҮ
c. Uc(X,Y)= XY – 10,000
d. Uo (X, Y) — х —Ү
-
Which of these friends have the same preference as Kofi.
Question 3
A consumer spends her income M on two goods (X1 and X2) and the prices of these goods are P1
andP2. If the Marshallian demand for X2 is:
P1
X2
P2
a. Find her Marshallian demand for X,
b. What is the slope of the Hicksian or Compensated demand for good 1 (X,)
c. Is good 1 a substitute or complement to good 2
d. Is good 2 a substitute or complement to good 1
e. Is X1 a normal good
f. Is X, a Giffen good
Question 4
There are two goods, apple and banana, whose quantities are denoted by X and Y and prices by Px
and P, respectively. There is a consumer whose income is denoted by M and utility by U. His
expenditure function is known to be:
M = M(P,, Py, U) = P,P,U
a. Find the consumer's Hicksian (compensated) and Marshallian (uncompensated) demand
functions.
b. If M = 100, Px
what is his resulting utility
= 1 and P = 1, what quantities of X and Y does the consumer buy, and
Transcribed Image Text:Assignment 1.pdf Question 1 The compensated (Hicksian) demand curve is always steeper than the uncompensated (Marshallian) demand curve. True or False and Explain your answer Question 2 Kofi's utility function is given by U«(X,Y) = XY . The utility functions of his four friends - Esi (UE) John (U,), George (Uc) and Osei (Uo) are: a. UE(X,Y) = 100XY b. U,(х,Y) — -XҮ c. Uc(X,Y)= XY – 10,000 d. Uo (X, Y) — х —Ү - Which of these friends have the same preference as Kofi. Question 3 A consumer spends her income M on two goods (X1 and X2) and the prices of these goods are P1 andP2. If the Marshallian demand for X2 is: P1 X2 P2 a. Find her Marshallian demand for X, b. What is the slope of the Hicksian or Compensated demand for good 1 (X,) c. Is good 1 a substitute or complement to good 2 d. Is good 2 a substitute or complement to good 1 e. Is X1 a normal good f. Is X, a Giffen good Question 4 There are two goods, apple and banana, whose quantities are denoted by X and Y and prices by Px and P, respectively. There is a consumer whose income is denoted by M and utility by U. His expenditure function is known to be: M = M(P,, Py, U) = P,P,U a. Find the consumer's Hicksian (compensated) and Marshallian (uncompensated) demand functions. b. If M = 100, Px what is his resulting utility = 1 and P = 1, what quantities of X and Y does the consumer buy, and
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