A Note on the Flatness of the Transformation Surface

Koji Shimomura

Kobe Economic & Business Review, 1992, vol. 37, 49-67

Abstract: Consider a production possibility set constructed by any number of primary factors of production and any number of first-degree-homogeneous production functions, the inputs of which include produced commodities. Let y be a point on the upper boundary of the set with n industries active. Then, the transformation surface contains the intersection of an (n-r)-dimensional hyperplane embracing y and the set if and only if at y there are exactly r linearly independent vectors of primary-factor inputs.

Date: 1992
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