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,

$50

on a Regular Set, and

$70

on a Deluxe Set. The factory has on hand

400

utility knives,

200

chef's knives, and

100

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?

need to no how many of each type!!!