3) Illustrate the following utility functions by sketching indifference curves in the X,Y space: (Need not be to scale as long as the general shape is reasonable) (a) U(X,Y) = 2X + 3Y (perfect substitutes) (b) U(X,Y) = X1/2Y 1/2 (Cobb-Douglas) (c) Derive the expression for the Marginal Rate of Substitution for the utility functions above.

Microeconomic Theory
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ISBN:9781337517942
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Chapter3: Preferences And Utility
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3) Illustrate the following utility functions by sketching indifference curves in the X,Y space: (Need
not be to scale as long as the general shape is reasonable) (a) U(X,Y) = 2X + 3Y (perfect substitutes)
(b) U(X,Y) = X1/2Y 1/2 (Cobb-Douglas) (c) Derive the expression for the Marginal Rate of Substitution
for the utility functions above.
Transcribed Image Text:3) Illustrate the following utility functions by sketching indifference curves in the X,Y space: (Need not be to scale as long as the general shape is reasonable) (a) U(X,Y) = 2X + 3Y (perfect substitutes) (b) U(X,Y) = X1/2Y 1/2 (Cobb-Douglas) (c) Derive the expression for the Marginal Rate of Substitution for the utility functions above.
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