You own the hamburger franchise and are preparing to shut down operations for day, but you are have 12 bread rolls, 17 defrosted beef patties, and 13 opened cheese slices. Rather than throw them, you make decision to utilize them to make burgers which you will sell at the discount. Plain burgers each need 1 beef patty and 1 bread roll, double cheeseburgers each need 2 beef patties, 1 bread roll, and 2 slices of cheese, as regular cheeseburgers each need 1 beef patty, 1 bread roll, and 1 slice of cheese. How many of each must you prepare?