Solution

ID: past-exam-of-the-probability-statistics-and-options-i-course-of-the-university-of-oxford/2009/t/1/a/i/solution

The entries in the two slack columns give the inverse basis matrix
Thus the ordered basic variables are . Multiplying the original coefficient matrix and right-hand side by gives the completed constraint rows. With the bottom row defined as reduced costs and right-hand entry , the complete tableau is
This bottom-right entry is the negative of the optimal objective under this row-operation convention. If a tableau records the positive objective value separately in that position, it is ; the completed constraint rows and reduced costs are the same.

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