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Implement a dual simplex solver. You should write a subroutine of the form dualsimplex(S), where your solver takes as input one matrix S representing

 

Implement a dual simplex solver. You should write a subroutine of the form dualsimplex(S), where your solver takes as input one matrix S representing an entire tableau. Your solver should return a matrix of the same dimensions representing an optimal tableau. You may assume that S is a legal dual simplex tableau, where the objective row of S consists of nonnegative entries.

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