In the figure on the right, the feasible region, and the objective function passing through the optimal solution for the following linear program is given. The coordinates of all points of interest are also provided in the upper right side of the figure. max 5 x1 +5x2 subject to 2 x₁ + x₂ 59 (Constraint 1) X1 + 2x₂ 59 (Constraint 2) x₁ 54 (Constraint 3) X1, X220
In the figure on the right, the feasible region, and the objective function passing through the optimal solution for the following linear program is given. The coordinates of all points of interest are also provided in the upper right side of the figure. max 5 x1 +5x2 subject to 2 x₁ + x₂ 59 (Constraint 1) X1 + 2x₂ 59 (Constraint 2) x₁ 54 (Constraint 3) X1, X220
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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Please don't provide hand written solution
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In the figure on the right, the feasible region, and the
objective function passing through the optimal
solution for the following linear program is given. The
coordinates of all points of interest are also provided in
the upper right side of the figure.
max 5 x₁ + 5 x2
subject to
2 x₁ + x₂ 59 (Constraint 1)
X1 + 2x₂ ≤9 (Constraint 2)
X₁ S4 (Constraint 3)
X1, X₂20
10-
9
NZ-(x1, x2, s1, s2); Z-(53)
NZ-(x1, x2, s1); Z=[s2, s3]
NZ-{x1, x2): Z-[s1, s2, s3]
NZ-{x1, x2, 53); Z-{s1, s2}
NZ-(x1, x2, s1, s2, s3]; Z-empty set
NZ-(x1, x2, s2); Z=[s1, s3)
H
8
7
6+
51B
4+
3+
2 +
1.
→
D
A:(0,0)
B:(0,4.5)
C:(3,3)
D: (4,2.5)
E: (4,1)
F:(4.5,0)
G:(4,0)
H:(0,9)
1:(9,0)
1 2 3 4 5 6 7 8 9 10
If we increase the right-hand-side of constraint 1, what would be the solution mix (in terms of Z and NZ sets)
when constraint 1 passes through point D?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d177053-3df2-4a43-957e-bfed9cb86bdf%2F0aec02d7-50c4-4831-b8c5-fe6288491496%2Fu9zonuj_processed.png&w=3840&q=75)
Transcribed Image Text:ht
ard
es
dar
36
y
ox
9
elp
In the figure on the right, the feasible region, and the
objective function passing through the optimal
solution for the following linear program is given. The
coordinates of all points of interest are also provided in
the upper right side of the figure.
max 5 x₁ + 5 x2
subject to
2 x₁ + x₂ 59 (Constraint 1)
X1 + 2x₂ ≤9 (Constraint 2)
X₁ S4 (Constraint 3)
X1, X₂20
10-
9
NZ-(x1, x2, s1, s2); Z-(53)
NZ-(x1, x2, s1); Z=[s2, s3]
NZ-{x1, x2): Z-[s1, s2, s3]
NZ-{x1, x2, 53); Z-{s1, s2}
NZ-(x1, x2, s1, s2, s3]; Z-empty set
NZ-(x1, x2, s2); Z=[s1, s3)
H
8
7
6+
51B
4+
3+
2 +
1.
→
D
A:(0,0)
B:(0,4.5)
C:(3,3)
D: (4,2.5)
E: (4,1)
F:(4.5,0)
G:(4,0)
H:(0,9)
1:(9,0)
1 2 3 4 5 6 7 8 9 10
If we increase the right-hand-side of constraint 1, what would be the solution mix (in terms of Z and NZ sets)
when constraint 1 passes through point D?
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