At linear programming for an unbounded region,maxima may exist or may not
z= ax+by and it has some constraints. and a feasible region that is unbounded. and M be the initial maxima. if ax+by>M . if the line ax+by=M does not overlap that previous feasible region, the initial maxima is the maxima. and if overlaps, then no maxima . why overlapping causes no maxima and without overlapping assures maxima?
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