Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + x2 = 31 1x2 + 5x2 = 20 2x1 + 1x2 5

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + x2 = 31 1x2 + 5x2 = 20 2x1 + 1x2 5 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 X1 X1 4 6 8 8 X2 X2 8 8 6 6 X1 4 6 8 6 8 (b) Solve the LP Relaxation of this problem. at (x1, x2) - (c) Find the optimal integer solution. at (*1,*2) =

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