Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x + 6x2 41 1x+ 7x, 21 2x, + 1x, S 15 X1, X220

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x + 6x2 41 1x+ 7x, 21 2x, + 1x, S 15 X1, X220 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. 2 X2 X2 X2 8 8 8 8 6 6 6! 2 4 6 8 6 2 4 6 8 8 (b) Solve the LP Relaxation of this problem. at (xzrxz) = (I (c) Find the optimal integer solution. at (X1, X2)

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