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Consider the following all-integer linear program. 1x₁ + 1x₂ 10 w 2x₁ + 1x₂ ≤ 15 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 8 6 Max s.t. 2 4x₁ + 7x₂ $35 1x₂ + 6x₂ ≤ 18 2 4 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. ] at (x₁, x₂) = ( [ 8 X1 8 @O 2 6 8 X₂ X2 8 6 2 2 4 6 8 X1 X2 8 6 2 4 6 8 X1 Ⓡ

Consider the following all-integer linear program. 1x₁ + 1x₂ 10 w 2x₁ + 1x₂ ≤ 15 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 8 6 Max s.t. 2 4x₁ + 7x₂ $35 1x₂ + 6x₂ ≤ 18 2 4 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. ] at (x₁, x₂) = ( [ 8 X1 8 @O 2 6 8 X₂ X2 8 6 2 2 4 6 8 X1 X2 8 6 2 4 6 8 X1 Ⓡ

Advanced Engineering Mathematics
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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Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ ≤ 15 X₁, X₂ ≥ 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 6 4 Max s.t. 2 4x₁ + 7x₂ ≤ 35 1x₁ + 6x₂ ≤ 18 2 4 6 (b) Solve the LP Relaxation of this problem. | at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) = 1 8 X1 8 2 4 6 8 X2 8 6 4 O 2 2 4 6 8 X1 X2 8 6 4 2 6 8 X1 Ⓡ
Transcribed Image Text:Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ ≤ 15 X₁, X₂ ≥ 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 6 4 Max s.t. 2 4x₁ + 7x₂ ≤ 35 1x₁ + 6x₂ ≤ 18 2 4 6 (b) Solve the LP Relaxation of this problem. | at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) = 1 8 X1 8 2 4 6 8 X2 8 6 4 O 2 2 4 6 8 X1 X2 8 6 4 2 6 8 X1 Ⓡ
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