A company sells sets of kitchen knives. A Basic Set consists of 4 utility knives

Question

A company sells sets of kitchen knives. A Basic Set consists of 4 utility knives and 1 chefs knife. A Regular Set consists of 2 utility knives, 1 chefs knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chefs knife, and 1 slicer. The profit is S40 on a Basic Set, $50 on a Regular Set, and $70 on a Deluxe Set. The factory has on hand 900 utility knives, 300 chefs 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? How many Basic Sets should be made up? How many Regular Sets should be made up? How many Deluxe Sets should be made up? What is the maximum profit?

Explanation / Answer

The software output for this problem is:

Hence,

Number of basic sets = 150

Number of regular sets = 0

Number of deluxe sets = 100

Maximum profit = $ 13000

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