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Company sells sets of kitchen knives A Basic Set consists of 2 utility knives and chefs knife A Regular Set consists of utility knives_ chefs knife and slicer: Delu...

Question

Company sells sets of kitchen knives A Basic Set consists of 2 utility knives and chefs knife A Regular Set consists of utility knives_ chefs knife and slicer: Deluxe Set consists of 3 utility knives chefs knife , and slicer: The profit is S30 on Basic Set; S50 on Regular Set, and 570 on Deluxe Set: The factory has on hand 400 utility knives, 200 chefs knives, and 00 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 pr

company sells sets of kitchen knives A Basic Set consists of 2 utility knives and chefs knife A Regular Set consists of utility knives_ chefs knife and slicer: Deluxe Set consists of 3 utility knives chefs knife , and slicer: The profit is S30 on Basic Set; S50 on Regular Set, and 570 on Deluxe Set: The factory has on hand 400 utility knives, 200 chefs knives, and 00 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 Regular Set than on 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 X1 be the number of Basic Sets, let *z be the number of Regular Sets and let X3 be the number of Deluxe Sets_ What is the objective function? z-Lx1 Ex+ Dx: (Do not include the symbol in your answers )

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