Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x 1 + 7X2 5 31 1x1 + 6X2 5 24 2x1 + 1X2

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x 1 + 7X2 5 31 1x1 + 6X2 5 24 2x1 + 1X2 s 13 X1/ X2 2 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 X2 8 8 8 8 6 4 - X1 2 4 6 8 A X1 X1 X1 O 2 8 2 4 6 8 2 4 6 8 O (b) Solve the LP Relaxation of this problem. 5 x at (x1, X2) = 4,1 (c) Find the optimal integer solution. 5 x at (x1, X2) = 4,1 X

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