Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 42 1x1 + 5x2 ≤ 20 2x1 + 1x2 ≤ 15 x1, x2 ≥ 0 and integer (b)Solve the LP Relaxation of this problem. ( ) at (x1, x2) = ( ) (c) Find the optimal integer solution. ( ) at (x1, x2) = ( )
Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 42 1x1 + 5x2 ≤ 20 2x1 + 1x2 ≤ 15 x1, x2 ≥ 0 and integer (b)Solve the LP Relaxation of this problem. ( ) at (x1, x2) = ( ) (c) Find the optimal integer solution. ( ) at (x1, 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.
Max | 1x1 | + | 1x2 | |
s.t. | ||||
5x1 | + | 7x2 ≤ | 42 | |
1x1 | + | 5x2 ≤ | 20 | |
2x1 | + | 1x2 ≤ | 15 | |
x1, x2 ≥ 0 and integer |
(b)Solve the LP Relaxation of this problem.
( ) at (x1, x2) = ( )
(c)
Find the optimal integer solution.
( ) at (x1, x2) = ( )
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