An Optimal Media Selection Model for a Company in Ghana
Joseph Ackora-Prah *
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
Richard Owusu
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
Kassim Haabilla
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
*Author to whom correspondence should be addressed.
Abstract
Selection of media and budget allocation is a major concern in advertising. It involves choosing the appropriate media that is effective in reaching the target audience of the population in consideration. Generally, predicting an optimal target audience exposure in selection of media is a complex problem. In this study, a Linear Programming technique is used to investigate the budgetary allocation of a Company for effective media selection planning. The problem is formulated using empirical data from the company and other media sources. The resulting linear programming model is analyzed using Quantitative Manager for Business version 3.2 and Linear Programming Solver version 5.2.2 which embodies the simplex algorithm method. The results show that the optimal target audience is 635,048,700. The optimum media mix which attracts a significant audience exposure and generates the desired objective value for the advertising campaign include; three (3) Television media outlet, two (2) print media outlet, and ten (10) radio media outlet.
Keywords: Media Selection, linear programing, simplex algorithm, basic solution, Feasible set, Convex/Concave set