Question: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4X1 + 6x23 30 1x1 + 7X2 = 28 2X1 + 1x2 5 13

Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4X1 + 6x23 30 1x1 + 7X2 = 28 2X1 + 1x2 5 13 X1 X2 2 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 8H 8! 8 6H 6 4 2 X1 X1 X1 6 8 2 4 6 8 2 4 6 8 X2 ca 8 6 4 N 2 X1 2 4 6 8 (b) Solve the LP Relaxation of this problem. at (x1, x2) = (c) Find the optimal integer solution. at (x1, x2) = =

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