Question: Consider the following all-integer linear program: Max1 x 1 +1 x 2 s.t.4x 1 + 6x 2 22 1x 1 + 5x 2 15 2x

Consider the following all-integer linear program:

Max1x1 +1x2

s.t.4x1 + 6x222

1x1 + 5x215

2x1+ 1x29

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.

c)Find the optimal integer solution.

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