Problem 2. If the consumer preference can be represented by a CES function with δ = 0.5, i.e. u(x, y) = x0.5 + y0.5. Let the prices and income be (px, py, w).  1. Set up the Lagrangian expression.2. Take the first-order conditions.3. Substitute into budget constraint to derive the optimal consumption bundles.

Micro Economics For Today
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ISBN:9781337613064
Author:Tucker, Irvin B.
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Chapter6: Consumer Choice Theory
Section6.A: Indifference Curve Analysis
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Problem 2. If the consumer preference can be represented by a CES function with δ = 0.5, i.e. u(x, y) = x0.5 + y0.5. Let the prices and income be (px, py, w). 

1. Set up the Lagrangian expression.
2. Take the first-order conditions.
3. Substitute into budget constraint to derive the optimal consumption bundles.

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