ECON 11 Study Guide - Midterm Guide: Hicksian Demand Function, Mathematical Proof, Production Function

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15 Oct 2018
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Assuming there are two goods, this means that the hicksian demand h1(p1, p2, u) is decreasing in p1, and similarly for good 2. Show this is true, either graphically or mathematically. [hint: for the graphical proof, you should sketch the expenditure minimising choices, and consider the e ect of a rise in p1. For the mathematical proof, you should use shephard"s. Lemma, which states that e/ p1 = h1, and the concavity of the expenditure function. ] An agent chooses to consume in periods t {1, 2}. Her income is m1 and m2, while her consumption is x1 and x2. In class we claimed that the agents budget is given by the equation m1 + The cost function c(r1, r2, q) is concave in the input price of good 1, r1. Explain the idea behind this result, either in words or pictures (or both). A consumer"s demand for good 1 is given by x .

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