Separability Testing in Production Economics
利用对偶理论,以简单方式推导了生产函数可分离性与利润函数可分离性之间的限制条件,并用实验生产数据检验利润函数的可分离性,发现不能拒绝该假设,表明营养素价格指数可加总。
Abstract The implications of separability in production are examined using duality. Restrictions on the profit function implied by separability of the production function, and vice versa, are derived in a simple way. These restrictions are then calculated for commonly used classes of functional forms. Then the method is used to test separability of the profit function using experimental production data. The hypothesis that the profit function was separable (plant nutrients from spacing unit costs) could not be rejected. This implies that an aggregate price index for nutrients is appropriate.