Question 7. For each of the following 4 examples, a) write the Indirect Utility Function, V(Px, PY, M). b) write the Expenditure Function, M(Px, PY, V). c) calculate the Compensating Variation (CV). d) calculate the Equivalent Variation (EV). e) calculate the change in the quantity demanded of Good X that is due to the Substitution Effect (SE). f) calculate the change in the quantity demanded of Good X that is due to the Income Effect (IE).

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Chapter6: Consumer Choice And Demand
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I am working on practice problems for my midterm and I want to make sure I get them right.
Practice Problems - Midt...
Question 7. For each of the following 4 examples,
a) write the Indirect Utility Function, V(Px, PY, M).
b) write the Expenditure Function, M(Px, PY, V).
c) calculate the Compensating Variation (CV).
d) calculate the Equivalent Variation (EV).
e) calculate the change in the quantity demanded of Good X that is due to the Substitution Effect (SE).
f) calculate the change in the quantity demanded of Good X that is due to the Income Effect (IE).
1. U(X,Y)= MIN(2X,Y); M = $12; Py = $1; Px is initially = $1;
then the price of good X increases to Px = $2.
2. U(X,Y)= MIN(3X,Y); M = $20; Py = $1; Px is initially = $1;
then the price of good X increases to Px = $2.
3. U(X,Y)= X¹/2y¹/² M = $36; Py = $1; Px is initially = $1;
then the price of good X increases to Px = $9.
A
4. U(X,Y)= X¹/²Y¹/2 M = $64; Py = $1; Px is initially = $16;
then the price of good X decreases to Px = $1.
Transcribed Image Text:Practice Problems - Midt... Question 7. For each of the following 4 examples, a) write the Indirect Utility Function, V(Px, PY, M). b) write the Expenditure Function, M(Px, PY, V). c) calculate the Compensating Variation (CV). d) calculate the Equivalent Variation (EV). e) calculate the change in the quantity demanded of Good X that is due to the Substitution Effect (SE). f) calculate the change in the quantity demanded of Good X that is due to the Income Effect (IE). 1. U(X,Y)= MIN(2X,Y); M = $12; Py = $1; Px is initially = $1; then the price of good X increases to Px = $2. 2. U(X,Y)= MIN(3X,Y); M = $20; Py = $1; Px is initially = $1; then the price of good X increases to Px = $2. 3. U(X,Y)= X¹/2y¹/² M = $36; Py = $1; Px is initially = $1; then the price of good X increases to Px = $9. A 4. U(X,Y)= X¹/²Y¹/2 M = $64; Py = $1; Px is initially = $16; then the price of good X decreases to Px = $1.
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