The optimal integer solution is ○ (3,1). O (0,3) Onone of the other four. O (7,0). 0 (0,2).

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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Suppose the following Branch-and-Bound tree is obtained for a pure integer maximization LP:

x₂ ≤ 2
(0.5,2), u = 433.5.
X1 ≤ 0
(0,2), u = 415.
LP3
(0,2.5), u = 435.
X₂ ≤ 1
X1 ≤ 3
(3,1), u = 374.
(3.5,1), u = 427.2.
X1 ≤7
(7,0), u = 424.
X₁ ≥ 1
(1,1.5), u = 433.
X₂ ≥ 3
(0,3), u = 418.
x₂ ≤0
(7.25,0), u = 424.5.
X₂ > 2
infeasible
X₁ ≥ 4
(4,0.5), u = 427.
X₁ ≥ 8
infeasible
X₂ ≥ 1
infeasible
Transcribed Image Text:x₂ ≤ 2 (0.5,2), u = 433.5. X1 ≤ 0 (0,2), u = 415. LP3 (0,2.5), u = 435. X₂ ≤ 1 X1 ≤ 3 (3,1), u = 374. (3.5,1), u = 427.2. X1 ≤7 (7,0), u = 424. X₁ ≥ 1 (1,1.5), u = 433. X₂ ≥ 3 (0,3), u = 418. x₂ ≤0 (7.25,0), u = 424.5. X₂ > 2 infeasible X₁ ≥ 4 (4,0.5), u = 427. X₁ ≥ 8 infeasible X₂ ≥ 1 infeasible
The optimal integer solution is
○ (3,1).
O (0,3)
Onone of the other four.
O (7,0).
0 (0,2).
Transcribed Image Text:The optimal integer solution is ○ (3,1). O (0,3) Onone of the other four. O (7,0). 0 (0,2).
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