The ministry of communication and mass media periodically sponsors public service seminars and programs. Currently, the promotional plans are under way for this years program. Advertising alternatives includes television, radio, newspaper, and social media. The table below provides information about audience estimates, costs, and maximum media usage limitations$.$To ensure a balanced usage of advertising media, radio ads are not to exceed $50\%$ of the total number of ads authorized. In addition, television ads should account for at least $10\%$ of the total number of ads authorized. If the promotional budget is $$18,200,$ the ministry would like to formulate a linear programming problem that determines the number of commercial messages that should be run in order to maximize the total audience contact.

Tasks:

Introduction to the case study.

Purpose of the study.

Formulation of the LP problem.

The LP problem setup in the software.

The outputs generated by the software.Managerial interpretation of the results.

Your recommendations for solving the case study.

$\backslash$table$[[,$Television,Radio,Newspaper,$\backslash$table$[[$Social$],[$Media$]]],[\backslash$table$[[$Audience$],[$per Ad$]],100,000,18,000,40,000,60,000],[$Cost per Ad$,2,000,300,600,200],[\backslash$table$[[$Max Media$],[$Usage$],[$Limitation$]],10,10,10,10]]$