Set up the following for solution by the simplex method. First express the linear constraints and objective function, then add slack variables to convert each constraint into a linear equation, and then set up the initial simplex tableau. A company sells sets of kitchen knives. The Basic Set consists of 2 utility knives and 1 chef's knife. The Regular Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The Deluxe Set consists of 4 utility knives, 1 chef's knife, and 1 slicer. Their profit is $20 on a Basic Set, $45 on a Regular Set, and $50 on a Deluxe Set. The factory has on hand 850 utility knives, 300 chef's knives, and 175 slicers. Assuming that all sets will be sold, how many of each type should be produced in order to maximize profit? What is the maximum profit? Let x₁, x₂, and x3 be the numbers of Basic Sets, Regular Sets, and Deluxe Sets, respectively. Express the linear constraints and objective function. subject to: with Z= 850 300 175 x₂ X3 (Do not factor. Do not include the $ symbol in your answers.)

Set up the following for solution by the simplex method. First express the linear constraints and objective function, then add slack variables to convert each constraint into a linear equation, and then set up the initial simplex tableau. A company sells sets of kitchen knives. The Basic Set consists of 2 utility knives and 1 chef's knife. The Regular Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The Deluxe Set consists of 4 utility knives, 1 chef's knife, and 1 slicer. Their profit is $20 on a Basic Set, $45 on a Regular Set, and $50 on a Deluxe Set. The factory has on hand 850 utility knives, 300 chef's knives, and 175 slicers. Assuming that all sets will be sold, how many of each type should be produced in order to maximize profit? What is the maximum profit? Let x₁, x₂, and x3 be the numbers of Basic Sets, Regular Sets, and Deluxe Sets, respectively. Express the linear constraints and objective function. subject to: with Z= 850 300 175 x₂ X3 (Do not factor. Do not include the $ symbol in your answers.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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