Macroeconomics (9th Edition)
Macroeconomics (9th Edition)
9th Edition
ISBN: 9780134167398
Author: Andrew B. Abel, Ben Bernanke, Dean Croushore
Publisher: PEARSON
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Chapter 4, Problem 6AP
To determine

To find the optimum consumption point, the no borrowing and no lending points, substitution effect, and income effect. Also, to ascertain whether both the effects move in the same or opposite direction.

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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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