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(a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X₂ X₂ 8 6 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) = 8 4 6 8 DO X₂ DO 8 6 8 G

(a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X₂ X₂ 8 6 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) = 8 4 6 8 DO X₂ DO 8 6 8 G

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 57P
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Consider the following all-integer linear program. Max 1x₁ + 1x2 s.t. 2x₁ + 1x₂ ≤ 15 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 8 6 5x₁ + 6x₂ ≤ 41 1x₁ + 7x₂ ≤ 21 2 6 (b) Solve the LP Relaxation of this problem. at (x1, x₂) = (c) Find the optimal integer solution. at (x1, x₂) = 8 X₁ X2 8 2 4 6 8 X₁ X2 8 6 4 2 2 4 6 8 X1 X2 8 6 4 2 4 6 8 X₁
Transcribed Image Text:Consider the following all-integer linear program. Max 1x₁ + 1x2 s.t. 2x₁ + 1x₂ ≤ 15 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 8 6 5x₁ + 6x₂ ≤ 41 1x₁ + 7x₂ ≤ 21 2 6 (b) Solve the LP Relaxation of this problem. at (x1, x₂) = (c) Find the optimal integer solution. at (x1, x₂) = 8 X₁ X2 8 2 4 6 8 X₁ X2 8 6 4 2 2 4 6 8 X1 X2 8 6 4 2 4 6 8 X₁
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(b) Solve the LP Relaxation of this problem. 7.00,1.00 X at (x1, x₂) = (c) Find the optimal integer solution. 7,1 X at (x₁, x₂) = 8.00 8 X
Transcribed Image Text:(b) Solve the LP Relaxation of this problem. 7.00,1.00 X at (x1, x₂) = (c) Find the optimal integer solution. 7,1 X at (x₁, x₂) = 8.00 8 X
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