Consider The Following Production Function Q L K 9 L 1 3 K 1 3 Where Q Is Output

Consider the following production function:

q(L,K) = 9 L^1/3 K^1/3,

where q is output and the two inputs are K, capital and L, labor.

The corresponding cost equation is:

C(L,K) =wL + rK,

where w is the wage and r the opportunity cost of capital.

The Lagragian for the cost minimization problem is:

L = wL + rK + lamda 

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