A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives

Question

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?

Explanation / Answer

total profit = 33000

utility knives chef's knief slicer inventory available 1200 600 300 basic regular deluxe profit per unit 40 60 80 set consists of: utility knives 2 2 3 chef's knief 1 1 1 slicer 1 1 rank profitwise 3 2 1 units sold of: utility knives (300*3) 150 900 chef's knief 150 300 slicer (300/1) 150 300 So sets sold 0 150 300 maximum profit 0 9000 24000

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