A linear programming computer package is needed. The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown. Constraint Audience per advertisement Radio Cost per advertisement Maximum media usage Television Online Radio Budget Television Online Budget Total Audience $2,000 Radio 400,000 72,000 160,000 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. (a) If the promotional budget is limited to $22,800, how many commercial messages should be run on each medium to maximize total audience contact? $300 Online 20 $600 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget 10

A linear programming computer psckage is needed. The Westchester Chamber of Commerce periodically sponsort public service seminars and programs, Curtently, promotional plans are under way for this year's program. Atvertising alernatives include televisen, rodio, and online. Audience entimates, costs, and maximum media usage limitatiens are as shown. To ensure a balances use of adverting medi, radio advertasements must not exceed sow of the total number of advertisements authorized. In addicon, television should account for st least 10% of the total number of advertisements authorized. (a) If the promotional budget is limited to 322,500 , how many comenercial messages should be run on each medium to maximize total audience contact? Television Rads Galine What is the allocation of the budget among the three media, and what is the total audience reached? Televinion Budget