The optimal integer solution is O (3,1). O (0,3) O none 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.
X₁ ≤ 7
(7,0), u = 424.
x₁ ≥ 1
(3.5,1), u = 427.2.
(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. X₁ ≤ 7 (7,0), u = 424. x₁ ≥ 1 (3.5,1), u = 427.2. (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
O (3,1).
O (0,3)
O none of the other four.
O (7,0).
0 (0,2).
Transcribed Image Text:The optimal integer solution is O (3,1). O (0,3) O none of the other four. O (7,0). 0 (0,2).
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