1. Suppose firms use two inputs, capital, K, and labour L to produce output. Their production functions are written as a function of K and L: F(K, L). For each of the following production functions, determine i) whether the production function exhibits increasing, decreasing, or constant returns to scale, and ii) if both inputs double, by what factor (how many times) output will increase. (a) F(K,L) = 5K² +31² (b) F(K, L) = 8K0.4 10.3 (c) F(K, L) = K2 (2K³ - L³)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 1.5CE
icon
Related questions
Question
1. Suppose firms use two inputs, capital, K, and labour L to produce output. Their production
functions are written as a function of K and L: F(K, L). For each of the following production
functions, determine i) whether the production function exhibits increasing, decreasing, or constant
returns to scale, and ii) if both inputs double, by what factor (how many times) output will increase.
(a) F(K,L) = 5K² +3L²
(b) F(K,L) = 8K0.4 0.3
(c) F (K, L) = K² (2K³ – L³)
Transcribed Image Text:1. Suppose firms use two inputs, capital, K, and labour L to produce output. Their production functions are written as a function of K and L: F(K, L). For each of the following production functions, determine i) whether the production function exhibits increasing, decreasing, or constant returns to scale, and ii) if both inputs double, by what factor (how many times) output will increase. (a) F(K,L) = 5K² +3L² (b) F(K,L) = 8K0.4 0.3 (c) F (K, L) = K² (2K³ – L³)
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Input Substitution
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
Recommended textbooks for you
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning