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Use given data to find level of L,K where profit is maximum?

Q=K^a L^b        cobb douglas production function

a+b=1 , a=b      elasticity is same and equal to1

P=P'                  Constant price because of perfect competition

C=wL+rK           Cost Function

R=Q*P               Revenue function

PI=R-C              Profit function

use given data to find level of L,K where profit is maximum?

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Question added by Wasif Mehmood
Date Posted: 2016/04/02

Thanks for the invite, I apologize for the answer, I leave the answer for the professionals

Deleted user
by Deleted user

Thank you for inviting me to answer, but I have no experience in mathematical economics.