Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7X2 S 32 1x+ 6X2S 18 2x, + 1x, 11 X1, X220

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7X2 S 32 1x+ 6X2S 18 2x, + 1x, 11 X1, X220 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 8 8 8! 6 6 4 4 6 8 6 8 6 8 O 4 6 8 (b) Solve the LP Relaxation of this problem. at (X2, X2) = (c) Find the optimal integer solution. at (x1, x2)

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