How to get solution from the final simplex iteration

[sara_87]

Homework Statement

I have a programing problem and have to solve it using the simplex method. after i do all iterations such that the objective function row is all positive, how do i get the final answer.
For an example, if i have the final table as:
1, 2, 3, 4,
5, 8, 1, 7,
6, 11, 12, 9,

where the last row is the objective function row,
the first column is the right hand side of each equation, second column x1, third column x2 , fourth column x3,
first row x4 and second row x5

Homework Equations

The Attempt at a Solution

do i have to say that: x1=11; x2=12; x3=9

I think that's wrong.
Any ideas or help would be very much appreciated.
Thank you

 

[mighty2000]

Thank you for reaching out with your question. It seems like you are on the right track with using the simplex method to solve your programming problem. Once you have completed all iterations and have a final table where the objective function row is all positive, you can find the final answer by looking at the values in the rightmost column (the "right hand side" column). These values represent the values of your decision variables (x1, x2, x3) that will optimize your objective function. In your example, the values of x1, x2, and x3 would be 11, 12, and 9 respectively. These values will give you the maximum value for your objective function.

I hope this helps and good luck with your programming problem! If you have any further questions, please don't hesitate to ask.