Question 2 a) Briefly explain why the short run average variable cost of production is U-shaped. b) State the main difference between diminishing returns to a variable factor and decreasing returns to scale in production. c) Consider the production function, q = 30K04104, where q is output, K is capital, and Lis labour units. i) What is the returns to scale property of the above production function? ii) Assuming the cost of production is given as C= vK+wL, where v and w are unit prices of capital and labour respectively, find the optimal level of and L that should be employed. 00 €

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.7P
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Question 2
a) Briefly explain why the short run average variable cost of production is U-shaped.
b) State the main difference between diminishing returns to a variable factor and
decreasing returns to scale in production.
c) Consider the production function, q=30Kº4 Lº4, where q is output, K is capital,
and Lis labour units.
i)
What is the returns to scale property of the above production function?
ii)
Assuming the cost of production is given as C=vK+wL, where v and w
are unit prices of capital and labour respectively, find the optimal level of
and L that should be employed.
目
Transcribed Image Text:Question 2 a) Briefly explain why the short run average variable cost of production is U-shaped. b) State the main difference between diminishing returns to a variable factor and decreasing returns to scale in production. c) Consider the production function, q=30Kº4 Lº4, where q is output, K is capital, and Lis labour units. i) What is the returns to scale property of the above production function? ii) Assuming the cost of production is given as C=vK+wL, where v and w are unit prices of capital and labour respectively, find the optimal level of and L that should be employed. 目
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