Suppose we have three consumers A, B and C with the following utility functions = UA (c1, c2) min (c1, 3c2} Ub (c1, c2) = c1 + 3c2 Uc (c1, c2) = c1(c2^3) Picture shows work for consumer C for part a) and b ). Please explain what was done and help with the other questions a) Derive the demand functions for goods c1, c2 for all consumers b) Suppose m1 = 100, m2 = 75, p1 = 1, p 2 = 1.25, r = .05. What are the optimal choices for these consumers c) Draw each consumer's problem and indicate optimal values d) Suppose that Tp1 to 1.25. Calculate and draw the substitution and income effects for all these consumers

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Suppose we have three consumers A, B and C with
the following utility functions
=
UA (c1, c2) min (c1, 3c2}
Ub (c1, c2) = c1 + 3c2
Uc (c1, c2) = c1(c2^3)
Picture shows work for consumer C for part a) and b
). Please explain what was done and help with the
other questions
a) Derive the demand functions for goods c1, c2 for
all consumers
b) Suppose m1 = 100, m2 = 75, p1 = 1, p
2 = 1.25, r = .05. What are the optimal choices for
these consumers
c) Draw each consumer's problem and indicate
optimal values
d) Suppose that Tp1 to 1.25. Calculate and draw the
substitution and income effects for all these
consumers
Transcribed Image Text:Suppose we have three consumers A, B and C with the following utility functions = UA (c1, c2) min (c1, 3c2} Ub (c1, c2) = c1 + 3c2 Uc (c1, c2) = c1(c2^3) Picture shows work for consumer C for part a) and b ). Please explain what was done and help with the other questions a) Derive the demand functions for goods c1, c2 for all consumers b) Suppose m1 = 100, m2 = 75, p1 = 1, p 2 = 1.25, r = .05. What are the optimal choices for these consumers c) Draw each consumer's problem and indicate optimal values d) Suppose that Tp1 to 1.25. Calculate and draw the substitution and income effects for all these consumers
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