Assignment:
Question: A candidate for the next presidential election is trying to determine how to allocate their $250,000 advertising budget. The candidate is considering Facebook ads and television commercials as the primary means for advertising. Each Facebook ad costs $100 and is expected to reach 10,000 people. Each television commercial costs $1000 and is expected to reach 27,000 people. Assume that the candidate will purchase no more than 500 Facebook ads and no less than 150 television ads.
Required:
Write the linear programming formulation to help the candidate determine how many Facebook ads and how many television commercials they should purchase in order to maximize the people reached.