Consider the following all-integer linear program. 1x₁ + 1x₂ 10 w 2x₁ + 1x₂ ≤ 15 X₁, X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 8 6 Max s.t. 2 4x₁ + 7x₂ $35 1x₂ + 6x₂ ≤ 18 2 4 6 (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. ] at (x₁, x₂) = ( [ 8 X1 8 @O 2 6 8 X₂ X2 8 6 2 2 4 6 8 X1 X2 8 6 2 4 6 8 X1 Ⓡ

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