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Linear Production Function

The linear production function describes a linear relationship between the inputs and the output.

For example:

Q = aL

Q = aL + bK


Returns to scale

The linear production function has constant returns to scale.

Y = aK + bL
Y’ = a (cK) + b (cL)
= c (aK + bL)
= c Y

Elasticity of substitution

The elasticity of substitution is ∞.


The elasticity of substitution is the change in K/L divided the change in the MTRS, when K/L changes.

The MTRS is constant. The change in the MTRS is always 0.

By definition, the numerator is not 0.

The elasticity of substitution is ∞.

Proof of The Law of Cosines


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en/linear-production-function.txt · Last modified: 2018/08/10 11:12 by federico