Problem 3. Consider the Cobb-Douglas production function f(x, y) = 40x/44 where r is the number of units of labor, y is the number of units of capital, and f(x, y) is the number of units produced. Use differentials to estimate the change in production if the number of units of labor is increased from 64 to 65 and the number of units of capital is increased from 81 to 80. If at the current levels the number of units of capital decreases by 4 units, approximately how many units of labor should be added to keep the production level unchanged?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Topic Video
Question

Hi, I was wondering if I could get some help with this problem.

Problem 3. Consider the Cobb-Douglas production function
f(x, y) = 40x/44
where r is the number of units of labor, y is the number of units of capital, and
f(x, y) is the number of units produced. Use differentials to estimate the change
in production if the number of units of labor is increased from 64 to 65 and the
number of units of capital is increased from 81 to 80. If at the current levels the
number of units of capital decreases by 4 units, approximately how many units of
labor should be added to keep the production level unchanged?
Transcribed Image Text:Problem 3. Consider the Cobb-Douglas production function f(x, y) = 40x/44 where r is the number of units of labor, y is the number of units of capital, and f(x, y) is the number of units produced. Use differentials to estimate the change in production if the number of units of labor is increased from 64 to 65 and the number of units of capital is increased from 81 to 80. If at the current levels the number of units of capital decreases by 4 units, approximately how many units of labor should be added to keep the production level unchanged?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning