Application of Mathematical Models in Economic Variable Input and Output Models under the Scientific Visualization

Abstract

At present, with the development of society and economy, some new problems have emerged continuously. Among them, the more serious problem is that enterprises pay too much attention to economic benefits, which leads to problems in the development of many enterprises. Therefore, the problem caused by too much emphasis on economic benefits is one of the major economic problems. After this problem, our country’s economy began to focus on economic input and output in the subsequent development process. And, related personnel have also studied the economic input-output technology and model, which is an economic quantitative analysis method that has been widely used in various aspects of the economic field since its emergence. This paper firstly elaborates the theoretical knowledge involved, such as economic data, economic variables, and visualization techniques. Secondly it analyzes the application of scientific visualization techniques in the processing of economic variable data, which includes the techniques of preprocessing, mapping, drawing, and displaying the data. Finally, this paper investigates the application of mathematical models in economic variables input and output and the application of mathematical models in economic research, which can help us to better understand and use the knowledge of economics, thus providing strong support for solving practical problems. Also, this helps people to understand and grasp more about the macroarea, microaspect, and even the country as a whole.

Sensitivity Analysis Between Lagrange Multipliers and Consumer Coupon: Utility Maximization Perspective

“…It is a highly abstract discipline that covers many fields, such as economics, sociology, psychology, political science, etc. (Samuelson, 1947;Zheng & Liu, 2022). The concept of utility was developed in the late 18 th century by the English moral philosopher, jurist, and social reformer Jeremy Bentham (1748Bentham ( -1832 and English philosopher, political economist, Member of Parliament (MP) and civil servant John Stuart Mill (1806-1873) (Bentham, 1780).…”

Sensitivity Analysis for Utility Maximization: A Study on Lagrange Multipliers and Commodity Coupons

“…At present, it successfully covers many leading fields of modern society, such as economics, sociology, psychology, political science, etc. [Zheng & Liu, 2022]. The utility is an important and fundamental concept in modern economics [Fishburn, 1970].…”

Sensitivity Analysis Among Commodities and Coupons During Utility Maximization

“…In economics, new problems are emerging continuously in every moment. In the 21 st century, global economy has become challenging, and use of mathematics becomes inevitably essential in economics (Chaturvedi & Singh, 2020;Zheng & Liu, 2022). Mathematical modeling in economics is the application of mathematics in economics to represent theories and analyze problems, where algebra, geometry, set theory, calculus, etc.…”

“…It is the primary tool to explain or predict about economic issues and problems (Glaister, 1991;Diewert et al, 1993). It is a tool for describing, reasoning, and calculating the relationships between things and the laws arising from changes in their nature by using certain quantitative and quantifiable objects (Lin & Peng, 2019;Zheng & Liu, 2022).…”