the fou Sống tông 6x₂ + 5x₂ $35 11x, + 4x₂ 5 44 1x₂ + 2x₂ 5 12 Xx₂20 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X₂ Max s.t. 6 (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) ] at (x₁, x₂) = ( Using this solution, round down to find a feasible integer solution. at (x₂₁x₂)=( (c) Find the optimal integer solution. ] at (x₂₁x₂) = ( Is it the same as the solution obtained in part (b) by rounding down? O Yes O No X₂ X₂ 6
the fou Sống tông 6x₂ + 5x₂ $35 11x, + 4x₂ 5 44 1x₂ + 2x₂ 5 12 Xx₂20 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. X₂ Max s.t. 6 (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.) ] at (x₁, x₂) = ( Using this solution, round down to find a feasible integer solution. at (x₂₁x₂)=( (c) Find the optimal integer solution. ] at (x₂₁x₂) = ( Is it the same as the solution obtained in part (b) by rounding down? O Yes O No X₂ X₂ 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the following all-integer linear program.
5X + 8X2
Max
s.t.
8
6x₁ + 5x₂ ≤ 35
11x₁ + 4x₂ ≤ 44
1x₂ + 2x₂ ≤ 12
X₁X₂20 and integer
(a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions.
X2
X2
| at (x₁, x₂) = |
6
(c) Find the optimal integer solution.
at (x₁, x₂) =
8
8
(b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.)
] at (x₁, x₂) = ( [
Using this solution, round down to find a feasible integer solution.
6
Is it the same as the solution obtained in part (b) by rounding down?
O Yes
O No
6
8
X1
X2
8
6
2
2
4
6
8
X1
X2
8
6
4
2
2
6
8
X₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7969c5f0-e605-40e7-a8e0-a97de5028afc%2F7dcaadfd-3693-48ff-a1f2-c5c8913f64f8%2Frmlxm4l_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following all-integer linear program.
5X + 8X2
Max
s.t.
8
6x₁ + 5x₂ ≤ 35
11x₁ + 4x₂ ≤ 44
1x₂ + 2x₂ ≤ 12
X₁X₂20 and integer
(a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions.
X2
X2
| at (x₁, x₂) = |
6
(c) Find the optimal integer solution.
at (x₁, x₂) =
8
8
(b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.)
] at (x₁, x₂) = ( [
Using this solution, round down to find a feasible integer solution.
6
Is it the same as the solution obtained in part (b) by rounding down?
O Yes
O No
6
8
X1
X2
8
6
2
2
4
6
8
X1
X2
8
6
4
2
2
6
8
X₁
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