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Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ 5 11 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 6 Max s.t. 4 5x₁ + 7x₂ ≤ 32 1x₁ + 5x₂ ≤ 20 6 8 DO 8 6 4 6 8 X1₁ X₂ 8 6 2 6 8 X₁ Ⓒ

Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ 5 11 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 6 Max s.t. 4 5x₁ + 7x₂ ≤ 32 1x₁ + 5x₂ ≤ 20 6 8 DO 8 6 4 6 8 X1₁ X₂ 8 6 2 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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X2 8 6 4 2 2 4 (b) Solve the LP Relaxation of this problem. (I at = (x₁, x₂) = = 1' 6 (c) Find the optimal integer solution. at (x₁, x₂) = co X1
Transcribed Image Text:X2 8 6 4 2 2 4 (b) Solve the LP Relaxation of this problem. (I at = (x₁, x₂) = = 1' 6 (c) Find the optimal integer solution. at (x₁, x₂) = co X1
Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ ≤ 11 X₁, X₂ ≥ 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 6 Max s.t. 4 5x1 + 7x₂ ≤ 32 1x₁ + 5x₂ ≤ 20 2 4 6 8 X1 X2 8 6 49 A 2 4 6 8 X2 8 6 4 2 2 4 6 8 X1
Transcribed Image Text:Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ ≤ 11 X₁, X₂ ≥ 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 6 Max s.t. 4 5x1 + 7x₂ ≤ 32 1x₁ + 5x₂ ≤ 20 2 4 6 8 X1 X2 8 6 49 A 2 4 6 8 X2 8 6 4 2 2 4 6 8 X1
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