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Infeasibility (no feasbile soln) and  unboundedness (unbounded soln) surely  require reformulation of the problem . Only Alternate optimality does not require reformulation as one soln is already there

An alternate optimal solution is also called as an alternate optima, which is when a linear / integer programming problem has more than one optimal solution. Typically, an optimal solution is a solution to a problem which satisfies the set of constraints of the problem and the objective function which is to maximize or minimize.

Hence ans is A
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