a) Discuss the implications of these kinds of preferences. b) In the perfect complements case solve for x1 and x2 as functions of p and Y. c) Suppose y = 10. Under perfect complements is there ever a price p where a consumer chooses not to consume either good? If yes or no tell me why.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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4) Consider the following case of perfect complements,
U (x1, T2) = Min(4æ1,3x2].
Assume the budget constraint, y = px1 + x2, with the price of good 2 nor-
malized to 1.
a) Discuss the implications of these kinds of preferences.
b) In the perfect complements case solve for x1 and x2 as functions of p and
y.
c) Suppose y = 10. Under perfect complements is there ever a price p where
a consumer chooses not to consume either good? If yes or no tell me why.
d) Plot the indifference curves for perfect complements case for various val-
ues of y holding p fixed ( The easiest way to do this is to assign an arbitrary
number to p and then assign different numbers for y and see how your graph
changes). Label all axes correctly.
Transcribed Image Text:4) Consider the following case of perfect complements, U (x1, T2) = Min(4æ1,3x2]. Assume the budget constraint, y = px1 + x2, with the price of good 2 nor- malized to 1. a) Discuss the implications of these kinds of preferences. b) In the perfect complements case solve for x1 and x2 as functions of p and y. c) Suppose y = 10. Under perfect complements is there ever a price p where a consumer chooses not to consume either good? If yes or no tell me why. d) Plot the indifference curves for perfect complements case for various val- ues of y holding p fixed ( The easiest way to do this is to assign an arbitrary number to p and then assign different numbers for y and see how your graph changes). Label all axes correctly.
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