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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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MARGINAL RETURNS

The change in the quantity of total product resulting from a unit change in a variable input, holding all other inputs fixed. Marginal returns is an older and more generic term for marginal product. While marginal product has largely replaced marginal returns in most discussions of short-run production, the phrase does persist in a few terms like the law of diminishing marginal returns.

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