Question 3 Book Sales

Solve by graphing: O'Hagan Bookworm Booksellers buys books from two publishers. Duffin House offers a package of 5 mysteries and 5 romance novels for $50, and Gorman Press offers a package of 5 mysteries and 10 romance novels for $150. O'Hagan wants to buy at least 2,500 mysteries and 3,500 romance novels, and he has promised Gorman (who has influence on the Senate Textbook Committee) that

**at least 25% of the total number of packages he purchases will come from Gorman Press**. How many packages should O'Hagan order from each publisher in order to minimize his cost and satisfy Gorman? What will the novels cost him?

Answer: Buy 420 packages from Duffin Publishers and 140 from Gorman Press for a total cost of $42,000.