Advertisement involves significant amount of money and remain as one of the major issues bothering companies and other investment sectors. Advertising is a marketing strategy directed to the consumers through any media in order to present and promote product, services and any other cause. Sale of products occurs with or without advertisement and may increase or decrease depending on the market situation. The question is, is there a mathematical model that can surely confirm the effects of advertising on sales of products? The aim of this paper is to develop a first order linear differential equation model that seeks to justify the impacts of advertising on the sale of products in Ghanaian market. Two basic variables, the advertisement and sales of product were considered for the model. A system of two differential equations from the two basic variables were developed and converted to first order non-homogeneous linear differential equation. The geometrical method was employed to obtain qualitative information about the solution of the first order non-homogeneous linear differential equation. The MATLAB software package was used to plots the graphs to illustrate the behaviour of the sale of products with respect to the time of advertisement. The findings revealed that differential equation model can be used to justify the advertising impacts on the sale of products.
| Published in | American Journal of Applied Mathematics (Volume 8, Issue 4) |
| DOI | 10.11648/j.ajam.20200804.11 |
| Page(s) | 171-175 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2020. Published by Science Publishing Group |
Advertisement, Sale of Products, First Order Differential Equations
| [1] | Ashkan, Y. (2016) “The Role of Advertisement in Sales Increase and Promotion: A Case Study of Hamadan Province Insurance Companies”, International Journal of Innovative Research in Science, Engineering and Technology, Vol. 5, Issue 4, pp. 6319 – 6326 |
| [2] | Ahmad, E., Zaid, O., Shaher, M., and Ahmad A., (2010) “Construction of Analytical Solutions to Fractional Differential Equations Using Homotopy Analysis Method”, International Journal of Applied Mathematics, Vol. 40, Issue 2. |
| [3] | Agbeja, Adelakun, O. J., Daramola, A. (2019), “Analysis of the Effect of Advertising on Sales and Profitability of Company” International Journal of Novel Research in Marketing Management and Economics, Vol. 2, No. 3, pp: 81-90. |
| [4] | Adekoya, O. A. (2011) “The impact of Advertising on Sales Volume of Product,” Bachelor Thesis, HAMK University of Applied Sciences, Finland, pp. 1-38. |
| [5] | Etzel, M. J., Walker, B. J. and Stanton, W. J. (1997) Marketing USA; Irwin/Mc-Graw Hill. |
| [6] | Fill, C. (1999) Marketing Communications: Contexts, Contents, and Strategies. Practice Hall Europe, London. |
| [7] | He, J. H. (1998) “Approximate analytic solution for seepage flow with fractional derivatives in porous media”, Comput, Methods Appl. Mech. Eng., Vol. 167, pp. 57-68. |
| [8] | Nidhi Kotwal, N. G. (2008). “Impact of T. V Advertisements on Buying Pattern of Adolescent Girls” Kamla-Raj, J. Soc. Sci., Vol. 16 Issue 1, pp. 51-55 |
| [9] | Samar, F., and Samreen, L. (2015) “Impact of Advertisement on Buying Behaviours of the consumers: Study of Cosmetic Industry in Karachi City”, International Journal of Management Sciences and Business Research, Vol. 4, Issue 10, pp. 125-137. |
| [10] | Williams, J. S. (1994) Fundamentals of Marketing, Singapore: Mc-Graw – Hill Inc. pp. 67-519. |
APA Style
Brew Lewis, Boahene Boahemaa Martha, Brew Ebella Candy. (2020). Analytical Approximation of Advertising Impact on Sale of Products Using Differential Equation Model. American Journal of Applied Mathematics, 8(4), 171-175. https://doi.org/10.11648/j.ajam.20200804.11
ACS Style
Brew Lewis; Boahene Boahemaa Martha; Brew Ebella Candy. Analytical Approximation of Advertising Impact on Sale of Products Using Differential Equation Model. Am. J. Appl. Math. 2020, 8(4), 171-175. doi: 10.11648/j.ajam.20200804.11
AMA Style
Brew Lewis, Boahene Boahemaa Martha, Brew Ebella Candy. Analytical Approximation of Advertising Impact on Sale of Products Using Differential Equation Model. Am J Appl Math. 2020;8(4):171-175. doi: 10.11648/j.ajam.20200804.11
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Download@article{10.11648/j.ajam.20200804.11,
author = {Brew Lewis and Boahene Boahemaa Martha and Brew Ebella Candy},
title = {Analytical Approximation of Advertising Impact on Sale of Products Using Differential Equation Model},
journal = {American Journal of Applied Mathematics},
volume = {8},
number = {4},
pages = {171-175},
doi = {10.11648/j.ajam.20200804.11},
url = {https://doi.org/10.11648/j.ajam.20200804.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20200804.11},
abstract = {Advertisement involves significant amount of money and remain as one of the major issues bothering companies and other investment sectors. Advertising is a marketing strategy directed to the consumers through any media in order to present and promote product, services and any other cause. Sale of products occurs with or without advertisement and may increase or decrease depending on the market situation. The question is, is there a mathematical model that can surely confirm the effects of advertising on sales of products? The aim of this paper is to develop a first order linear differential equation model that seeks to justify the impacts of advertising on the sale of products in Ghanaian market. Two basic variables, the advertisement and sales of product were considered for the model. A system of two differential equations from the two basic variables were developed and converted to first order non-homogeneous linear differential equation. The geometrical method was employed to obtain qualitative information about the solution of the first order non-homogeneous linear differential equation. The MATLAB software package was used to plots the graphs to illustrate the behaviour of the sale of products with respect to the time of advertisement. The findings revealed that differential equation model can be used to justify the advertising impacts on the sale of products.},
year = {2020}
}
TY - JOUR T1 - Analytical Approximation of Advertising Impact on Sale of Products Using Differential Equation Model AU - Brew Lewis AU - Boahene Boahemaa Martha AU - Brew Ebella Candy Y1 - 2020/06/17 PY - 2020 N1 - https://doi.org/10.11648/j.ajam.20200804.11 DO - 10.11648/j.ajam.20200804.11 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 171 EP - 175 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20200804.11 AB - Advertisement involves significant amount of money and remain as one of the major issues bothering companies and other investment sectors. Advertising is a marketing strategy directed to the consumers through any media in order to present and promote product, services and any other cause. Sale of products occurs with or without advertisement and may increase or decrease depending on the market situation. The question is, is there a mathematical model that can surely confirm the effects of advertising on sales of products? The aim of this paper is to develop a first order linear differential equation model that seeks to justify the impacts of advertising on the sale of products in Ghanaian market. Two basic variables, the advertisement and sales of product were considered for the model. A system of two differential equations from the two basic variables were developed and converted to first order non-homogeneous linear differential equation. The geometrical method was employed to obtain qualitative information about the solution of the first order non-homogeneous linear differential equation. The MATLAB software package was used to plots the graphs to illustrate the behaviour of the sale of products with respect to the time of advertisement. The findings revealed that differential equation model can be used to justify the advertising impacts on the sale of products. VL - 8 IS - 4 ER -
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