Question #148099

Derive the returns to scale associated with the following production functions
when both inputs, K and L, are increased by t times and t > 1.
a) Q = min( αL, βK), α, β > 0
b) Q = L ^2/3 K ^2/3

Need help in all, thank you!

Expert's answer

The returns to scale associated with the following production functions are:

a) Q = min( αL, βK) has decreasing returns to scale, because the function choose minimum value.

b) Q = L^2/3 K^2/3 has decreasing returns to scale, because the power of both L and K is below 1.


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