基于微分方程的广告费模型探究

Research on Advertising Fee Model Based on Differential Equation

在商业活动中,产品的生产与销售是两个最主要的环节,直接影响到企业的利益盈亏,是企业能否发展壮大的关键命脉。越来越多的企业意识到产品宣传的重要性,而如何在产品的宣传与销售中科学投入广告费用,实现利益最大化,是本文研究的主要内容。用数学建模方法去解决实际商业活动中的问题,是提升我们将理论运用于实际的有效途径。本文在一定条件下,综合考虑产品生产和宣传成本,售价与销量的一定关系和广告对商业利益的影响,运用曲线拟合和微分方程模型建立选择最优方案,使产品所得利润最大化,让资源充分利用。

In business activities,the production and sales of products are the two most important links,which directly affect the profit and loss of enterprises and are the key lifeblood of the enterprise development.More and more companies are aware of the importance of product promotion,and how to scientifically invest advertising costs in product promotion and sales to maximize benefits is the main content of this article.Using mathematical modeling methods to solve problems in actual business activities is an effective way to enhance our application of theory to practice.Under certain conditions,this article comprehensively considers the cost of product production and promotion,the certain relationship between sales price and sales volume,and the impact of advertising on business interests.It uses curve fitting and differential equation models to establish and select the optimal solution in order to maximize the product's profit and make the most of resources.