Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4X1 + 6x2 30 1X1 + 7X2 S 28 2x1 + 1x2 13 X1,

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4X1 + 6x2 30 1X1 + 7X2 S 28 2x1 + 1x2 13 X1, X220 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 8 8 6 6 4 2 X1 2 X1 N 4 6 8 2 4 6 8 X2 X2 00 00 6 4 2 X1 X1 2 6 6 8 2 4 4 6 00 (b) Solve the LP Relaxation of this problem. at (x1, x2) =([ (c) Find the optimal integer solution. at (X1, X2) =([

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