Question: 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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