Acme Advertising has a $10,000 budget for a combination oftelevision ads ($300 each) and radio ads ($125 each) for a newclient (a sporting goods store) and wants to maximize total reach.Television ads reach 5,000 people while radio ads reach 3,500people.
The television ads are to be run during local college basketballgames with the goal of running at least 5 ads and no more than 20ads. Radio ads will be run at the same time during the game and thegoal is to run at least radio 10 ads.
a)Formulate with linear programming to maximize reach.
b)Determine the optimal solution.
c) Due to high television ratings, TV reach has increased from5,000 viewers to 8,500 viewers. How would this change the optimalsolution?
d)If the manager decides the minimum TV ads should be 10 instead of5, how does this change the optimal solution?