Chapter 6.4, Problem 33E

In Problems 33-38, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model). Then solve the problem using the big $M$ method.

Advertising. An advertising company wants to attract new customers by placing a total of at most $10$ ads in $3$ newspapers. Each ad in the Sentinel costs $\text{\$}200$ and will be read by $2,000$ people. Each ad in the Journal costs $\text{\$}200$ and will be read by $500$ people. Each ad in the Tribune costs $\text{\$100}$ and will be read by $1,500$ people. The company wants at least $16,000$ people to read its ads. How many ads should it place in each paper in order to minimize the advertising costs? What is the minimum cost?