For the lincar programming problem below, using simplex method to maximize: Z= x₁ + 2x₂ + 4x₂ Subject to 3x₁ + x₂ + 5x₂ ≤10 x₁ +4x₂+x₂ ≤8 2x₁ + 2x₂ ≤7 20 ܨX ܕܕX, X 23. What would be the pivot element for the first iteration of the simplex tableau? 24. A. B. C. D. 3 in column 1 1 in column 3 1 in column 2 2 in column 1 The second constraint equation x, +4x₂ +x, ≤8 when converted to an equation is: A. x₂ + 4x₂ + x₂ +rs8 B.. x₁4x₂ + x₁ +r=8 C. -x₁ + 4x₂+x₂-8=8 D. x₁ +4x₂+x₂ +8=8

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 63P
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The following information refers to questions 23-24
For the linear programming problem below, using simplex method to maximize:
Z = x₁ +2x₂ + 4x3
Subject to
3x, + x₂ + 5x3 ≤10
x₁ +4x₂+x3 ≤8
2x + 2x3 ≤7
X1 X₂ X3 20
23. What would be the pivot element for the first iteration of the simplex tableau?
3 in column 1
1 in column 3
1 in column 2
2 in column 1
24.
A.
B.
C.
D.
The second constraint equation x, +4x₂ +x, ≤8 when converted to an equation is:
x₂ + 4x₂ + x₂ + r ≤8
x₁4x₂ + x₁ +r=8
-x₁ +4x₂+x₂ - 5=8
x₂ + 4x₂ + x₂ +8=8
A.
B..
C.
D.
Transcribed Image Text:The following information refers to questions 23-24 For the linear programming problem below, using simplex method to maximize: Z = x₁ +2x₂ + 4x3 Subject to 3x, + x₂ + 5x3 ≤10 x₁ +4x₂+x3 ≤8 2x + 2x3 ≤7 X1 X₂ X3 20 23. What would be the pivot element for the first iteration of the simplex tableau? 3 in column 1 1 in column 3 1 in column 2 2 in column 1 24. A. B. C. D. The second constraint equation x, +4x₂ +x, ≤8 when converted to an equation is: x₂ + 4x₂ + x₂ + r ≤8 x₁4x₂ + x₁ +r=8 -x₁ +4x₂+x₂ - 5=8 x₂ + 4x₂ + x₂ +8=8 A. B.. C. D.
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