Pivot Column Assignment Example | Topics and Well Written Essays - 250 words

Pivot Column - Assignment Example The column (r) becomes an r-nth column. In a tableau the pivot column is the column that has the most negative integer. If there are no negative indicators then the tableau is already considered final and the solution is already evident. The pivot row is the row with the smallest non-negative ratio (quotient). The pivot element is the number that sits at the intersection of the column with the most negative indictor (pivot column) and the row with the smallest quotient (pivot row). The example below is from â€Å"The Simplex Method† (n.d. web). This scenario was based on three different products ( s , t, u) and three different machines required to make those products. Note all calculations are done from the basic solution that x, y, and z, (number of units per product) are all zero. The original numbers used and the full calculation can be found in the reference section. In this first set of calculations the pivot column is in blue, the pivot row is in yellow and the pivot element is in green. The pivot element is found by first selecting the pivot column (the one with the most negative indicator) – in this example it is column 1 with -6. Then the constant on the right of the bar needs to be divided by the corresponding non-zero element in the pivot column and this will give you the smallest quotient (pivot row) and the intersection of these two (row and column) will give you the pivot