Tom's utility function is u(x,x,) = In(x,)+2 In(x,) and Sally's utility functic u(x,,x2) = min{x, } where x20 and x220 are the amounts of good 1 and good 2, respec The prices of good 1 and good 2 are p>0 and p, >0, respectively. Both consumer's incc identical as m>0. Answer the following questions. (1) Derive Tom's Marshall demand function for good 1 and good 2, respectively. (2) Derive Sally's Marshall demand function for good1 and good 2, respectively. (3) Derive Tom's and Sally's indirect utility functions, respectively.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Please solve part 1 and 2....fast

Tom's utility function is u(x,,x,)=In(x,)+2 In(x,) and Sally's utility function is
1
u(x, ,x2) = min{x,x} where xi20 and x220 are the amounts of good 1 and good 2, respectively.
The prices of good 1 and good 2 are p, >0 and p, >0, respectively. Both consumer's income is
identical as m>0. Answer the following questions.
(1) Derive Tom's Marshall demand function for good 1 and good 2, respectively.
(2) Derive Sally's Marshall demand function for good 1 and good 2, respectively.
(3) Derive Tom's and Sally's indirect utility functions, respectively.
(4) Now suppose that p, = 2 and m=120. Let us denote the intersection point between Tom's pi-
price offer curve and Sally's pi-price offer curve by x =(x,x). Find x (x,x).
%3D
Transcribed Image Text:Tom's utility function is u(x,,x,)=In(x,)+2 In(x,) and Sally's utility function is 1 u(x, ,x2) = min{x,x} where xi20 and x220 are the amounts of good 1 and good 2, respectively. The prices of good 1 and good 2 are p, >0 and p, >0, respectively. Both consumer's income is identical as m>0. Answer the following questions. (1) Derive Tom's Marshall demand function for good 1 and good 2, respectively. (2) Derive Sally's Marshall demand function for good 1 and good 2, respectively. (3) Derive Tom's and Sally's indirect utility functions, respectively. (4) Now suppose that p, = 2 and m=120. Let us denote the intersection point between Tom's pi- price offer curve and Sally's pi-price offer curve by x =(x,x). Find x (x,x). %3D
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