(a) Find the objective function to be used to maximize prot. Let x.I be the number of Basic Sets, let x2 be the number of Regular Sets, and let x3 be the number of Deluxe Sets. What is the objective function? 2 = x1 + x2 + x3 (Do not include the $ symbol in your answers.) (a) To maximize prot, the company should make up Basic Sets, Regular Sets, and Deluxe Sets. (Simplify your answers.) The maximum prot is $ (Simplify your answer.) (b) Choose the correct answer below. 0 A. Since the Regular Set requires more knives, it has higher production costs. This will result in less prot than the Basic Set. 0 B. The Basic Set requires fewer knives. So, fewer Basic Sets can be made up than Regular Sets. This results in higher overall prot. 0 C. The Basic Set requires fewer knives. So, more Basic Sets can be made up than Regular Sets. This results in higher overall prot. 0 D. The overall prot is most affected by the Deluxe Set. The prot generated by the Basic Set and Regular Set does not signicantly contribute to the overall prot. A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chefs knife. A Regular Set consists of 2 utility knives, 1 chet's knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The prot is $20 on a Basic Set, $40 on a Regular Set, and $80 on a Deluxe Set. The factory has on hand 400 utility knives, 200 chef's knives, and 100 slioers. (a) If all sets will be sold, how many of each type should be made up in order to maximize prot? What is the maximum prot? (b) A consultant for the company notes that more prot is made on a Regular Set than on a Basic Set, yet the result from part (3) recommends making up more Basic Sets than Regular Sets. She is puzzled how this can be the best solution. How would you respond