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, \$40 on a Regular��� Set, and��� \$80 on a Deluxe Set. The FACTORY has on hand 1600 utility��� knives, 800��� chef’s knives, and 400 slicers.
���(a) Find the objective function to be used to maximize profit. Let x 1×1 be the number of Basic��� Sets, let x 2×2 be the number of Regular��� Sets, and let x 3×3 be the number of Deluxe Sets.
���(Simply write the objective function on your paper. Do not include the��� \$ symbol in your answers. You are not allowed to enter your answer for the problem into MML.���)

���(b) If all sets will be��� sold, how many of each type should be made up in order to maximize��� profit Use the simplex method to derive your answers.

���”To maximize��� profit, the company should make up��� _________ Basic��� Sets, ________ Regular��� Sets, and��� __________ Deluxe��� Sets.”

���(c) What is the maximum��� profit
All supporting written work showing how you derived your final answer for this portion of the problem should be shown on your��� paper, including your final answer. Failure to do will cause a��� point(s) reduction in your grade. You are not allowed to enter your answer for the problem into MML.