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
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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