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HOMOGENEOUS OF DEGREE N: A property of an equation the exists if independent variables are increased by a constant value, then the dependent variable is increased by the value raised to the power of n. The value of n can be greater than, less than, or equal to one. This property often surfaces in the analysis of production functions. If n = 1, then a doubling independent variables results in a doubling of the dependent variable and the production function has constant returns to scale. If n > 1, then a doubling independent variables results in more than a doubling of the dependent variable and the production function has increasing returns to scale. If n < 1, then a doubling independent variables results in less than a doubling of the dependent variable and the production function has decreasing returns to scale.

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INCREASING RETURNS TO SCALE

A given proportional change in all resources in the long run results in a proportional greater change in production. Increasing returns to scale exists if a firm increases ALL resources--labor, capital, and other inputs--by a given proportion (say 10 percent) and output increases by more than this proportion (that is more than 10 percent). This is one of three returns to scale. The other two are decreasing returns to scale and constant returns to scale.

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