An individuals utility function is given by U = 900x₁ + 500x₂ + 6x₁x2 − x² − x²/2, when the weekly amount of leisure is X1 = 140 and earned income is x₂ = 800 answer the following: 1. The marginal utility of ₁ is 2. The marginal utility of 2 is 3. Use the small increments formula to estimate the change in the utility when ₁ decreases by 1 and 2 increases by 4. The change - 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a . and not, for a decimal point.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
icon
Related questions
Question
An individuals utility function is given by
U = 900x₁ + 500x₂ + 6x₁x2 − x² − x²/2,
when the weekly amount of leisure is
X1 =
140 and earned income is x₂ = 800
answer the following:
1. The marginal utility of ₁ is
2. The marginal utility of 2 is
3. Use the small increments formula to estimate
the change in the utility when ₁ decreases by
1 and 2 increases by 4. The change
-
4. Does the law of diminishing marginal
utility hold?
5. The MRCS at a given values is
Enter non-integer numerical values as
decimals to at least 3 decimal
places. Note: you must use a . and not, for a
decimal point.
Transcribed Image Text:An individuals utility function is given by U = 900x₁ + 500x₂ + 6x₁x2 − x² − x²/2, when the weekly amount of leisure is X1 = 140 and earned income is x₂ = 800 answer the following: 1. The marginal utility of ₁ is 2. The marginal utility of 2 is 3. Use the small increments formula to estimate the change in the utility when ₁ decreases by 1 and 2 increases by 4. The change - 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a . and not, for a decimal point.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning