1. Pringles is entering a new market. They are trying to decide which of 100 different (real) flavors to produce to maximize profits. The profit margin for each flavor is listed in pringles.xlsx, as well as the seconds needed per can for 3 different production processes: Flavoring, Packaging, and Quality Check.

The local Pringles factory can devote 100 hours to Flavoring, 120 hours to Packaging, and 80 hours to Quality Checking. Management wants to supply a variety of Pringles to draw in more customers, so they've decided to limit production of any single flavor to 5000 cans. Write out the linear program.

What should Pringles produce for the new market?