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Utility Maximization

by | Nov 30, 2023 | questions

Optimization with inequality constraints. See attached.

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1. General Utility Maximization (Show your steps!) List the rst order conditions for the following problem: max x1;:::;xn u(x1; :::; xn) s:t: p1x1 + ::: + pnxn I First ignore the implicit constraints: 8 i; xi 0 and give the FOCs. Then take them into account and give the Kuhn-Tucker Conditions. Simplify your expressions as far as you can. 1

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