True or False

Question

True or false.         The pivot column of a simplex tableau identifies the variable whose value is to be decreased in order to increase the value of the objective function (or at least keep it unchanged).

 

 

Why?

Answer 1

THIS IS TRUE.

HERE'S AN EXAMPLE OF A SIMPLEX TABLEAU:

x₁ x₂ s₁. s_2. P. C

2. 1. 1. 0. 0. 8

2. 4. 0. 1. 0. 14

-3. -5. 0. 0. 1. 0

Identify the Pivot column by finding the most negative number

In the last row of the simplex tableau. In the example shown, that number

is -5. The 2nd column is the Pivot column, which is the column that corresponds to variable x_2. You will work on reducing/simplifying the numbers

in this column so that the number in the Pivot column & pivot row

becomes 1 and the rest become zero. This will alter other values around it and increase the value representing "P" or the maximum.