21.05.2014 Views

Lecture 9: Linear Programming

Lecture 9: Linear Programming

Lecture 9: Linear Programming

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Solution via the simplex method<br />

This yields x 1 = 2 – 6x 2 + x 3<br />

x 4 = 8 + 3x 2 –4x 3<br />

which we substitute into the objective<br />

function to obtain the latter in terms of<br />

right hand variables<br />

z = 2x 2 –4x 3<br />

There are M left hand variables and N – M<br />

right hand variables<br />

203

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!