Suppose the third constraint was changed to x1 – x2 > 2.1. What is the new optimal solution to the LP? To the ILP?
Given the following all-integer linear programming problem:
Max 3x1 + 10x2
s.t. 2x1 + x2 < 5
x1 + 6x2 < 9
x1 – x2 > 2
x1, x2 > 0 and integer
LP—optimal solution changes slightly; ILP—infeasible
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