QUESTION 3 Consider an individual who has a utility function U(X,Y) = 2x1/2)+ y(/2), the prices of goods X and Y are given by pX = $8 and pY = $2, and the income level of consumer is I= $80.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 3SQ
icon
Related questions
Question
QUESTION 3
Consider an individual who has a utility function
U(X,Y) = 2x1/2) + Y/2),
the prices of goods X and Y are given by px = $8 and pY = $2, and the income level of consumer is I = $80.
3-a) Write the consumer's utility maximization probiem (formally, as we wrote in the lectures).
3-b) Write the Lagrangian function associated to the maximization problem.
3-c) Write the first order conditions (FOC).
3-d) Find the consumption bundle that maximizes consumer's utility.
Transcribed Image Text:QUESTION 3 Consider an individual who has a utility function U(X,Y) = 2x1/2) + Y/2), the prices of goods X and Y are given by px = $8 and pY = $2, and the income level of consumer is I = $80. 3-a) Write the consumer's utility maximization probiem (formally, as we wrote in the lectures). 3-b) Write the Lagrangian function associated to the maximization problem. 3-c) Write the first order conditions (FOC). 3-d) Find the consumption bundle that maximizes consumer's utility.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Indifference Curve
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning