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Consider the following all-integer linear program. Max     5x1  +  8x2 s.t.             6x1  +  5x2  ≤  25   10x1  +  4x2  ≤  40   1x1  +  2x2  ≤  8 x1, x2 ≥ 0 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.)  at

Consider the following all-integer linear program. Max     5x1  +  8x2 s.t.             6x1  +  5x2  ≤  25   10x1  +  4x2  ≤  40   1x1  +  2x2  ≤  8 x1, x2 ≥ 0 and integer (a) Graph the constraints for this problem. Use points to indicate all feasible integer solutions. (b) Find the optimal solution to the LP Relaxation. (Round your answers to three decimal places.)  at

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider the following all-integer linear program.
Max     5x1  +  8x2
s.t.          
  6x1  +  5x2  ≤  25
  10x1  +  4x2  ≤  40
  1x1  +  2x2  ≤  8
x1, x2 ≥ 0 and integer
(a)
Graph the constraints for this problem. Use points to indicate all feasible integer solutions.
(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 
(x1, x2) = 
 
 
 
 
 
 
 
(c)
Find the optimal integer solution.
 at 
(x1, x2) = 
 
 
 
 
 
 
 
Is it the same as the solution obtained in part (b) by rounding down?
YesNo    
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