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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 20 on a Basic Set 60 on a Regular Set and 80 on a Deluxe Set The factory has on hand 800 utility knives 400 chef s knives and 200 slicers a 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 b A consultant for the company notes that more profit is made on a Regular Set than on a Basic Set yet the result from part a recommends making up more Basic Sets than Regular Sets She is puzzled how this can be the best solution How would you respond a Find the objective function to be used to maximize profit Let x be the number of Basic Sets let x be the number of Regular Sets and let x3 be the number of Deluxe Sets What is the objective function Z x x x3 Do not include the symbol in your answers To maximize profit the company should make up Simplify your answers Basic Sets Regular Sets and Deluxe Sets
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