A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife. A Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The profit is $40 on a Basic Set, $60 on a Regular Set, and $80 on a Deluxe Set. The factory has on hand 1200 utility knives, 600 chef's knives, and 300 slicers. If all sets will be sold, how many of each type should be made up in order to maximize profit? What is the maximum profit? How many Basic Sets should be made up