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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

x_1,x₂0 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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