Consider a production function for an economy with 2 factors of production L, K: Y=10(KL)1/2 where Y is real output, L is labour, K is capital.  In this economy the factors of production are in fixed supply with L = 10, K = 10. What type of returns to scale does this production function exhibit.  Demonstrate by example. If the economy is competitive what is the total income that will go to the owners of capital?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.5P
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Consider a production function for an economy with 2 factors of production L, K: Y=10(KL)1/2 where Y is real output, L is labour, K is capital.  In this economy the factors of production are in fixed supply with L = 10, K = 10. What type of returns to scale does this production function exhibit.  Demonstrate by example. If the economy is competitive what is the total income that will go to the owners of capital?

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