FM Formulas F05Finite Mathematics Formulas and MiscellanyCrown’s Rulesmust be used before the simplex algorithm if there are negative numbers in the rightmost column above the horizontal line because a solution from this matrix does not represent a corner point of the feasible region.A.There is no solution if a row above the horizontal line contains all positive values except in the rightmost column.B.If this is not the case, to find the pivot column:1.Choose the first negative number from the top in the rightmost column above the horizontal line.2.Choose the most negative number in the row. That will indicate the pivot column.C.To find the pivot row:1.Divide nonnegative entries in the rightmost column by positive entries in the pivot column. The smallest nonnegative quotient will determine the pivot row.2.If the step above is not possible, divide negative entries in the rightmost column by negative entries in the pivot column.
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