a) If the price of the first good decrease to 4$ (p₁ = 4$) then find the new (final) Marshallian and Hicksian demand functions for the first and second goods b) Find the difference between new and old Marshallian demands for the first good: (x₁ new x₁old). This difference is called as the "Total Effect" (TE) c) Find the difference between new Hicksian demand and old Marshallian demands for the first good. This difference is called as the "Substitution Efect" (SE). d) Find the difference between new Marshallian demand and and new Hicksian demand. This difference is called as the "Income Effect" (IE) e) Show that TE = SE + IE

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Utility function is given as Cobb Douglas functional form: U =
Price the first good: P₁ = 5$
Price the second good: P₂ = 10$
Income: I = 500$
0.5 0.5
Transcribed Image Text:Utility function is given as Cobb Douglas functional form: U = Price the first good: P₁ = 5$ Price the second good: P₂ = 10$ Income: I = 500$ 0.5 0.5
C)
a) If the price of the first good decrease to 4$ (p₁ = 4$) then find the new (final) Marshallian
and Hicksian demand functions for the first and second goods
b) Find the difference between new and old Marshallian demands for the first good:
(x₁ new x₁ old). This difference is called as the "Total Effect" (TE)
c) Find the difference between new Hicksian demand and old Marshallian demands for the first
good. This difference is called as the "Substitution Efect" (SE).
d) Find the difference between new Marshallian demand and and new Hicksian demand. This
difference is called as the "Income Effect" (IE)
e) Show that TE = SE + IE
Transcribed Image Text:C) a) If the price of the first good decrease to 4$ (p₁ = 4$) then find the new (final) Marshallian and Hicksian demand functions for the first and second goods b) Find the difference between new and old Marshallian demands for the first good: (x₁ new x₁ old). This difference is called as the "Total Effect" (TE) c) Find the difference between new Hicksian demand and old Marshallian demands for the first good. This difference is called as the "Substitution Efect" (SE). d) Find the difference between new Marshallian demand and and new Hicksian demand. This difference is called as the "Income Effect" (IE) e) Show that TE = SE + IE
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