Question 1: Find the labor demand function for the cases below assuming a fixed level of capital The labor demand equation Production Function Y = 10VL.K Y = 2√L+√K Y = In L + 10K MPL (obtained by differentiating the prod function) √K 5 TI MPL = 5 MPL √ī MPL= 1 L L* Does L* depend on K?

Economics (MindTap Course List)
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ISBN:9781337617383
Author:Roger A. Arnold
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Chapter17: Economic Growth: Resources, Technology, Ideas And Institutions
Section17.2: A Production Function And Economic Growth
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Practice Sheet: Labor demand
Question 1: Find the labor demand function for the cases below assuming a fixed level of capital
The labor demand equation
Production
Function
Y = 10VL.K
Y = 2√L + √K
Y = In L + 10K
Y = 5L+VK
Y = 10 min (L,K)
MPL (obtained by
differentiating the
prod function)
MPL = 5
MPL =
MPL
√K
√ī
√ī
1
MPL = 5
MPL = 10 if L<K
MPL = 0 if L>K
L*
Does L*
depend on K?
Transcribed Image Text:Practice Sheet: Labor demand Question 1: Find the labor demand function for the cases below assuming a fixed level of capital The labor demand equation Production Function Y = 10VL.K Y = 2√L + √K Y = In L + 10K Y = 5L+VK Y = 10 min (L,K) MPL (obtained by differentiating the prod function) MPL = 5 MPL = MPL √K √ī √ī 1 MPL = 5 MPL = 10 if L<K MPL = 0 if L>K L* Does L* depend on K?
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