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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 COST AND MARGINAL PRODUCT

The U-shape of the marginal cost curve is closely related to the hump-shape of the marginal product curve. The increasing portion of the marginal product curve corresponds with the decreasing portion of the marginal cost curve. The decreasing portion of the marginal product curve corresponds with the increasing portion of the marginal cost curve. The peak of the marginal product curve corresponds with the minimum of the marginal cost curve.

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In the late 1800s and early 1900s, almost 2 million children were employed as factory workers.
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