# Analyzing Returns to Scale of the Production Function

Consider the production function Q=100L^.5K^.4. Suppose L=1 and K=1 so that Q=100

a. If L is increased by 1 percent, that is to L=1.01 with capital unchanged, what is the resulting percentage increase in output?

b. Describe the nature of returns to scale for this production function.

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#### Solution Preview

a. If L is increased by 1 percent, that is to L=1.01 with capital unchanged, what is the resulting percentage increase in output?

Output level for L=1 and K=1 is

Q=100*1^0.5*1^0.4=100 units

Output level for L=1.01 and K=1 ...

#### Solution Summary

Solution discusses the nature of returns to scale for the given production functions along with step-by-step calculations.

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