Suppose your tastes for good 1 and 2 can be represented by utility function u(x, x)...
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Suppose your tastes for good 1 and 2 can be represented by utility function u(x₁, x₂) = x/32/3. Suppose the price of good 1 is p₁, the price of good 2 is 1, and you income is I. (1) Calculate your Marshallian demand of good 1 and 2, as functions of p1, I. [4pt] (2) Suppose p1 = 4, I = 12. What are your optimal consumption of the goods (ri,x), and the corresponding optimal level of utility u*? [2pt] (3) Calculate your Hicksian demand of good 1 and 2, as functions of p1, u. [4pt] [Hint: If you are not familiar with the Hicksian demand calculations, the cost minimization problem for the producers can provide some useful hints (e.g., PS5 Q1(b), or slide #70-73 in Topic04.pdf). ] (4) Sketch on a price-quantity diagram the Marshallian and Hicksian demand curves for good 1 passing through the point (r1, P1 = 4); write down the two demand functions. [4pt] Suppose your tastes for good 1 and 2 can be represented by utility function u(x₁, x₂) = x/32/3. Suppose the price of good 1 is p₁, the price of good 2 is 1, and you income is I. (1) Calculate your Marshallian demand of good 1 and 2, as functions of p1, I. [4pt] (2) Suppose p1 = 4, I = 12. What are your optimal consumption of the goods (ri,x), and the corresponding optimal level of utility u*? [2pt] (3) Calculate your Hicksian demand of good 1 and 2, as functions of p1, u. [4pt] [Hint: If you are not familiar with the Hicksian demand calculations, the cost minimization problem for the producers can provide some useful hints (e.g., PS5 Q1(b), or slide #70-73 in Topic04.pdf). ] (4) Sketch on a price-quantity diagram the Marshallian and Hicksian demand curves for good 1 passing through the point (r1, P1 = 4); write down the two demand functions. [4pt]
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1 Marshallian Demand To calculate the Marshallian demand we maximize utility subject to the budget c... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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