Consider a general utility function U(x₁, x₂). Let's now solve for the optimal bundle generally using the Lagrangian Method. 1. Write down the objective function and constraint in math. 2. Set up the Lagrangian Equation. 3. Fnd the first derivatives. 4. Find the first order conditions. What's the interpretation for ?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.3P
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Question 4:
Consider a general utility function U(x₁, x₂). Let's now solve for the optimal bundle generally
using the Lagrangian Method.
1. Write down the objective function and constraint in math.
2. Set up the Lagrangian Equation.
3. Fnd the first derivatives.
4. Find the first order conditions. What's the interpretation for >?
5. Rearrange them to get the tangency condition.
Transcribed Image Text:Question 4: Consider a general utility function U(x₁, x₂). Let's now solve for the optimal bundle generally using the Lagrangian Method. 1. Write down the objective function and constraint in math. 2. Set up the Lagrangian Equation. 3. Fnd the first derivatives. 4. Find the first order conditions. What's the interpretation for >? 5. Rearrange them to get the tangency condition.
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