Maria is a consumer with preferences over good x and good y represented Exercise 3 by the utility function u(x, y) = x²y. The price of good y in this market is py = $2. a) Derive Maria's demand functions of good x and good y. [Hint: Solve the UMP keeping Px and I undefined and using py = $2] b) Draw her demand curve of good x assuming she has an income of I = $240. c) On a separate graph, draw her Engel curve for good y. Is good y a normal good for Maria? Explain.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Exercise 3
Maria is a consumer with preferences over good x and good y represented
by the utility function u(x, y) = x²y. The price of good y in this market is Py
= $2.
a) Derive Maria's demand functions of good x and good y. [Hint: Solve the UMP keeping
Px and I undefined and using py = $2]
b) Draw her demand curve of good x assuming she has an income of I = $240.
c) On a separate graph, draw her Engel curve for good y. Is good y a normal good for
Maria? Explain.
Transcribed Image Text:Exercise 3 Maria is a consumer with preferences over good x and good y represented by the utility function u(x, y) = x²y. The price of good y in this market is Py = $2. a) Derive Maria's demand functions of good x and good y. [Hint: Solve the UMP keeping Px and I undefined and using py = $2] b) Draw her demand curve of good x assuming she has an income of I = $240. c) On a separate graph, draw her Engel curve for good y. Is good y a normal good for Maria? Explain.
Expert Solution
Step 1: Utility maximisation

Utility is the total satisfaction that the consumer derives from the consumption of good.

The consumer aims to maximise his utility given the income and price.

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