Question: Consider the following all-integer linear program. Max 1 x 1 + 1 x 2 s.t. 5 x 1 + 7 x 2 32 1 x

Consider the following all-integer linear program.

Max 1x1 + 1x2
s.t.
5x1 + 7x2 32
1x1 + 6x2 18
2x1 + 1x2 11
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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