A plain hamburger requires one ground beef patty and a bun.
A cheeseburger requires one ground beef patty, one slice of cheese, and a bun.
A double cheeseburger requires two ground beef patties, two slices of cheese, and a bun. Frozen hamburger patties are sold in packs of 12, buns in packs of 8 and cheese slices in packs of 24. A family purchased 13 packs of buns, 11 packs of hamburger patties and 3 packs of cheese slices. How many of each type of sandwiches should the family prepare if they want to maximize the number of beef patties used? Set up a standard maximization problem using the simplex method.