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.
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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Show full answers for part a) b) & c)
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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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