Project Ploughshares periodically sponsors public service seminars and programs Currently promotional plans are under way for this year s program Advertising alternatives include television radio and newspaper Audience estimates costs and maximum media usage limitations are as shown TV Radio Newspaper 100 000 18 000 50 000 2 000 300 600 50 40 Audience per ad Cost per ad S Maximum Media Usage 10 To ensure a balanced use of advertising media radio advertisements must not exceed 50 of the total number of advertisements authorized In addition television should account for at least 10 of the total number of advertisements authorized Formulate a linear programming model for this problem Solve with Excel solver Attach ONE PAGE solution printout and ONE PAGE sensitivity analysis report printout to your homework Answer the following questions a If the promotional budget is limited to 18 200 how many commercial messages should be run on each medium to maximize total audience contact What is the allocation of the budget among the three media and what is the total audience reached b By how much would audience contact increase if an extra 100 were allocated to the advertising budget If possible answer without resolving