On some geometric properties of quasi-product production models

TL;DR

This paper explores the geometric properties of quasi-product production functions by analyzing their associated graph hypersurfaces, extending recent results to models like Spillman-Mitscherlich and transcendental functions.

Contribution

It provides new classification results linking the geometry of production functions to their algebraic form, generalizing previous findings in the field.

Findings

Classification of quasi-product production functions based on geometric properties

Geometric analysis of Spillman-Mitscherlich and transcendental production functions

Extension of existing results to a broader class of production models

Abstract

In this article we obtain classification results on the quasi-product production functions in terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting some recent results concerning basic production models. In particular, we obtain several results on the geometry of Spillman-Mitscherlich and transcendental production functions.