Consider the following all-integer linear program. Max 1x₁ + 1x₂ s.t. 4x + 6x₂ ≤ 38 1x₁ + 5x₂ s 15 2x₁ + 1x₂ 5 17 X₁ X₂20 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X₂ X2 8 6 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 ( 2 4 6 8 X1 Ⓡ X₂ 8 6 4 2 2 8 x₂ X₂ 8 6- 6 8

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