Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 6x2 = 36 1x1 + 7X2 S 21 2x + 1x S

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 6x2 = 36 1x1 + 7X2 S 21 2x + 1x S 13 X1 X220 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 6 6 4 4 X1 X1 X1 4 6 8 2 8 2 4 6 8 2 4 6 8 (b) Solve the LP Relaxation of this problem. at (x7,x2) = (c) Find the optimal integer solution. at (X1, X2) =

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