Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + 6x2 ≤ 30 1x1 + 7x2 ≤ 21 2x1 + 1x2 ≤ 13 x1, x2 ≥ 0 and integer
Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + 6x2 ≤ 30 1x1 + 7x2 ≤ 21 2x1 + 1x2 ≤ 13 x1, x2 ≥ 0 and integer
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.
Max | 1x1 | + | 1x2 | |
s.t. | ||||
4x1 | + | 6x2 ≤ | 30 | |
1x1 | + | 7x2 ≤ | 21 | |
2x1 | + | 1x2 ≤ | 13 | |
x1, x2 ≥ 0 and integer |

Transcribed Image Text:(a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.
X2
X2
X2
8
8
8
6
6
41
4
2
X1
X1
2
4
6.
8
4
6
8
2
4
6
8
X2
8
6
X1
2
4
8

Transcribed Image Text:(b) Solve the LP Relaxation of this problem.
at (x1, X2) =
(c) Find the optimal integer solution.
at (x1, x2) =
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