IEOR162_hw06

IEOR162_hw06 - IEOR 162 Spring 2012 Homework 06 1(Modified...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: IEOR 162, Spring 2012 Homework 06 1. (Modified from Problem 4.7.3; 10 points) Consider the following LP z * = max x 1 + x 2 s.t. x 1 + x 2 + x 3 ≤ 1 x 1 + 2 x 3 ≤ 1 x i ≥ ∀ i = 1 , ..., 3 . Use the simplex method to determine whether the LP is infeasible, unbounded, having a unique optimal solution, or having multiple optimal solutions. In the latter two cases, find the optimal solution if there is only one or find two if there are multiple. Note. The suggested way of checking whether there are multiple optimal solutions is to investigate the final tableau. You should not start from the initial tableau twice and try different entering variables. 2. (MODIFIED from Problem 4.8.1; 10 points) Consider the following LP z * = max 2 x 2 s.t. x 1- x 2 ≤ 4- x 1 + x 2 ≤ 1 x i ≥ ∀ i = 1 , 2 . Use the simplex method to determine whether the LP is infeasible, unbounded, having a unique optimal solution, or having multiple optimal solutions. In the latter two cases, find the optimal solution if theresolution, or having multiple optimal solutions....
View Full Document

This note was uploaded on 03/14/2012 for the course IEOR 162 taught by Professor Zhang during the Spring '07 term at Berkeley.

Page1 / 2

IEOR162_hw06 - IEOR 162 Spring 2012 Homework 06 1(Modified...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online