Abstract
This article aims to make mathematical tools available to economic agents to strengthen their activities. In recent years, optimization techniques, so useful in microeconomic theory, have been expand to incorporate more powerful differential and topological methods, these methods have led to new results on the qualitative behavior of general economic and political systems. The simplest and most common way to describe a company's technology is the production function. However there are other ways of describing company technologies that are more general and more useful in certain settings. In this sense, the rapidity with which changes are taking place in our society are additives that immerse us in the era of automation, for example the "just in time”, production technique is implanting in the business sector the culture of "total quality". The need to improve costs to grow leads to the application of mathematical tools. Thus, in this research we propose tools: (i) The Kuhn - Tucker theorem, (ii) The maximum theorem, (iii) The envelope theorem, together with an application of these.
Highlights
El presente artículo pretende poner a disposición de los agentes económicos herramientas matemáticas para fortalecimiento de sus actividades
Optimization techniques, so useful in microeconomic theory, have been expand to incorporate more powerful differential and topological methods, these methods have led to new results on the qualitative behavior of general economic and political systems
The rapidity with which changes are taking place in our society are additives that immerse us in the era of automation, for example the "just in time”, production technique is implanting in the business sector the culture of "total quality"
Summary
Rosa María Requelme Ibáñez; Carlos Abel Reyes Alvarado*; Jorge Luis Lozano Cervera. Facultad de Ciencias, Universidad Nacional Jorge Basadre Grohmann, Av. En consecuencia de nuestra investigación es mostrar la importancia de todas estas teorías mencionadas, con el propósito que a través del uso de herramientas matemáticas como métodos cuantitativos, ofrezcan un horizonte más claro cuando se desea optimizar las actividades de los agentes económicos. Existen otras formas de describir las variables de la empresa que son objeto de mejora continua por los agentes económico, y más útiles en determinados entornos. Se sigue inmediatamente del teorema Weierstrass (Schofield, 2014) (Existencia de valores extremos) porque la compacidad de S y la continuidad de gj implica que para cada a ∈ A el conjunto de X ∈ Rn satisfaciendo las m restricciones, g1(X, a) ≤ 0, . Porque ak converge a∗, la restricción-continuidad aplicada a (X, a∗) implica que hay una sucesión Xk en Rn convergiendo a Xtal que (Xk, ak) satisface las restricciones para cada k.
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