mar 75 I1 2 0, 12 2 0 s.t. 8* +4* r, <1600 • The marginal utility of good 1: MU, = .25 • The marginal utility of good 2: MU2 = 75 × Equation Description: A consumer is attempting to maximize utility subject to a budget constraint.Utility equals the product of two terms: the first term is units of good 1 raised to the .25 power; and, the second term is units of good 2 raised to the .75 power. The price per unit of good 1 is $8; the price per unit of good 2 is $4; and, consumer income is $1600. Marginal utility of good 1. equals the product of three terms: the first term is .25; the second term is units of good 2 raised to the 75 power; the third term is units of good 1 raised to the -75 power. Marginal utility of good 2 equals the product of three terms: the first term is.75: the second term is units of good 1 raised to the .25 power; the third term is units of good 2 raised to the -.25 power. Question: What is the highest level of utility the consumer can achieve? O 150 utils O 79.2 utils O None of the above O 19.9 utils 6.8 utils O 191.7 utils O 333.3 utils

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Givens:
mar
T1 2 0, x2 > 0
s.t. 8* + 4* T2 <1600
• The marginal utility of good 1: MU = 25
• The marginal utility of good 2: MU, = .75 *
Equation Description: A consumer is attempting to maximize utility subject to a budget constraint. Utility equals the product of
two terms: the first term is units of good 1 raised to the .25 power; and, the second term is units of good 2 raised to the .75 power.
The price per unit of good 1 is $8; the price per unit of good 2 is $4: and, consumer income is $1600. Marginal utility of good 1
equals the product of three terms: the first term is .25; the second term is units of good 2 raised to the !75 power; the third term is
units of good 1 raised to the -75 power. Marginal utility of good 2 equals the product of three terms: the first term is .75: the
second term is units of good 1 raised to the .25 power; the third term is units of good 2 raised to the -.25 power.
Question: What is the highest level of utility the consumer can achieve?
O 150 utils
O 79.2 utils
O None of the above
O 19.9 utils
O 6.8 utls
O 191.7 utils
O 333.3 utils
Transcribed Image Text:Givens: mar T1 2 0, x2 > 0 s.t. 8* + 4* T2 <1600 • The marginal utility of good 1: MU = 25 • The marginal utility of good 2: MU, = .75 * Equation Description: A consumer is attempting to maximize utility subject to a budget constraint. Utility equals the product of two terms: the first term is units of good 1 raised to the .25 power; and, the second term is units of good 2 raised to the .75 power. The price per unit of good 1 is $8; the price per unit of good 2 is $4: and, consumer income is $1600. Marginal utility of good 1 equals the product of three terms: the first term is .25; the second term is units of good 2 raised to the !75 power; the third term is units of good 1 raised to the -75 power. Marginal utility of good 2 equals the product of three terms: the first term is .75: the second term is units of good 1 raised to the .25 power; the third term is units of good 2 raised to the -.25 power. Question: What is the highest level of utility the consumer can achieve? O 150 utils O 79.2 utils O None of the above O 19.9 utils O 6.8 utls O 191.7 utils O 333.3 utils
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Utility Maximization
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education