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Consider the following all-integer linear program. Max 1 x 1 + 1 x 2 s.t. 4 x 1 + 7 x 2 35 1 x
Consider the following all-integer linear program.
Max | 1x1 | + | 1x2 | |
s.t. | ||||
4x1 | + | 7x2 | 35 | |
1x1 | + | 5x2 | 15 | |
2x1 | + | 1x2 | 15 | |
x1, x2 0 and integer |
(a)Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.
(b)Solve the LP Relaxation of this problem.
___ at (x1, x2) = ( , )
(c)Find the optimal integer solution.
___ at (x1, x2) = ( , )
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