Consider the following all-integer linear program. 1x₁ + 1x₂ 4x + 6x₂ s 34 1x + 7x₂ X₂ 2x₁ + 1x₂ = 15 x₁x₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X₂ 8 Max s.t. 6 S = 28 2 4 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) = 8 8 6 2 2 4 6 8 X₂ 8 64 6 8 X1 X₂ 8 6 2 4 8 X₂
Consider the following all-integer linear program. 1x₁ + 1x₂ 4x + 6x₂ s 34 1x + 7x₂ X₂ 2x₁ + 1x₂ = 15 x₁x₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X₂ 8 Max s.t. 6 S = 28 2 4 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) = 8 8 6 2 2 4 6 8 X₂ 8 64 6 8 X1 X₂ 8 6 2 4 8 X₂
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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Question
![Consider the following all-integer linear program.
1x₁ + 1x₂
4x₁ + 6x₂ = 34
1x₁ + 7x₂ = 28
2x₁ + 1x₂ = 15
x₁x₂20 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
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
6
O
2
4
6
8
X1
X₂
8
4
6
8
X₂
8
6
2
4
6
8
X₁
Ⓡ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc69c41cd-804d-4934-acb6-8565fddeca40%2F59a68b14-0a67-4321-8611-38b4dad0d257%2Fs6bu0kp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following all-integer linear program.
1x₁ + 1x₂
4x₁ + 6x₂ = 34
1x₁ + 7x₂ = 28
2x₁ + 1x₂ = 15
x₁x₂20 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
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
6
O
2
4
6
8
X1
X₂
8
4
6
8
X₂
8
6
2
4
6
8
X₁
Ⓡ
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