Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + 7x2 39 1x1 + 5x2 20 2x1 + 1x2 17 x1, x2

Consider the following all-integer linear program.

Max 1x1 + 1x2

s.t.

4x1 + 7x2 39

1x1 + 5x2 20

2x1 + 1x2 17 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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