{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MIE376 Lec 2 - Simplex.page33

# MIE376 Lec 2 - Simplex.page33 - 4(1/3)x 3 =(9/2 –(1/2)x...

This preview shows page 1. Sign up to view the full content.

MIE376 - Mathematical Programmingt 33 Solve for Basic Variables Equations in previous iteration: x 2 = (16/3) – (1/3)x 1 – (1/3)x 3 x 4 = (5/3) – (2/3)x 1 + (1/3)x 3 Z = (32/3) + (1/3)x 1 – (2/3)x 3 Express basic variables and objective in terms of non-basic var. x 1 = (5/2) + (1/2)x 3 – (3/2)x 4 x 2 = (16/3) – (1/3)*[(5/2) + (1/2)x3 – (3/2)x
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4 ] - (1/3)x 3 = (9/2) – (1/2)x 3 + (1/2)x 4 ² Z = (32/3) + (1/3)*[(5/2) + (1/2)x 3 – (3/2)x 4 ] – (2/3)x 3 = (23/2) – (1/2)x 3 – (1/2)x 4 ± Note that the new solution is ² Optimal, as no further improvement is possible ² Only optimal solution, as any change deteriorates x 2 x 3 x 4 x 1...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online