Some properties of a production function

TL;DR

This paper analyzes a new production function by Chilarescu, demonstrating conditions under which elasticity values are less than one and the function satisfies Inada conditions, contributing to economic theory.

Contribution

It establishes specific restrictions on parameters that ensure the production function's elasticity and Inada conditions are met, extending theoretical understanding.

Findings

Elasticity can be less than one under certain restrictions.

The production function satisfies Inada conditions with specific parameter restrictions.

Provides theoretical validation for properties of Chilarescu's production function.

Abstract

We examine the new production function developed by Chilarescu, and prove that under certain restrictions, the values of the elasticity can also be less than one. We will also prove that under certain restrictions on the parameters, the production function satisfies the Inada conditions.