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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Transcribed Image Text: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
(Do not factor. Do not include the $ symbol in your answers.)
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