Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x + 7X2 S 32 1x, + 6x S 24 2x + 1x, S

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x + 7X2 S 32 1x, + 6x S 24 2x + 1x, S 11 X, X, 30 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 X2 81 8 8H 8 61 6 6 6H 2 4 6 8 4 6 8 2 4 6 8 4 6 8 (b) Solve the LP Relaxation of this problem. at (X1, X2) = (c) Find the optimal integer solution. at (x,) =

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