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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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PROGRESSIVE TAX

A tax in which the proportion of income paid in taxes is greater for higher income levels. A progressive income tax exists if taxpayers with more income pay a higher tax rate relative to income as income increases. A progressive tax is one of three alternations. The other two are proportional tax, in which the proportion of income paid in taxes is the same for all income levels, and regressive tax, in which the proportion of income paid in taxes is smaller for higher income levels.

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