“marginal revenue product”的概念、定义、翻译、参考文献-科学参考

marginal revenue product

Economics

The addition to total revenue from a small increase in any factor input, per unit of the increase. This takes account of both the effect of the extra input in raising the quantity produced, and the effect of an increase in the quantity sold on the price that can be charged for it. Marginal revenue product equals marginal product multiplied by marginal revenue per unit of additional output sold. Formally, let revenue be given by

$R = p (y) y = p (F (K, L)) F (K, L)$

where y is the level of output determined by the production function, y = F(K, L), with K and L as inputs. The marginal revenue product of capital is

$M R P_{K} = \frac{d R}{d K} = \frac{d p}{d y} y \frac{\partial F}{\partial K} + p \frac{\partial F}{\partial K} = (\frac{d p}{d y} y + p) \frac{\partial F}{\partial K}$

where $\frac{d p}{d y} y + p$ is marginal revenue, and that of labour

$M R P_{L} = \frac{d R}{d L} = \frac{d p}{d y} y \frac{\partial F}{\partial L} + p \frac{\partial F}{\partial L} = (\frac{d p}{d y} y + p) \frac{\partial F}{\partial L} .$

单词	marginal revenue product
释义	marginal revenue product Economics The addition to total revenue from a small increase in any factor input, per unit of the increase. This takes account of both the effect of the extra input in raising the quantity produced, and the effect of an increase in the quantity sold on the price that can be charged for it. Marginal revenue product equals marginal product multiplied by marginal revenue per unit of additional output sold. Formally, let revenue be given by $R = p (y) y = p (F (K, L)) F (K, L)$ where y is the level of output determined by the production function, y = F(K, L), with K and L as inputs. The marginal revenue product of capital is $M R P_{K} = \frac{d R}{d K} = \frac{d p}{d y} y \frac{\partial F}{\partial K} + p \frac{\partial F}{\partial K} = (\frac{d p}{d y} y + p) \frac{\partial F}{\partial K}$ where $\frac{d p}{d y} y + p$ is marginal revenue, and that of labour $M R P_{L} = \frac{d R}{d L} = \frac{d p}{d y} y \frac{\partial F}{\partial L} + p \frac{\partial F}{\partial L} = (\frac{d p}{d y} y + p) \frac{\partial F}{\partial L} .$
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