Math464  HW 5 Due on Thursday, Feb 18
1
Linear Optimization (Spring 2010) Homework 5
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 130. You will be graded fo
Math 464Operations Research and Game Theory
Spring 2006
Assignment 6
This assignment is due at the beginning of class on Tuesday, April 18, 2006. The maximum
number of points given for each question is indicated within brackets in the left margin.
[16] 1.
Math464  HW 4 Due on Friday, Feb 12
1
Linear Optimization (Spring 2010) Homework 4
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 140. You will be graded for
Math 464Operations Research and Game Theory
Spring 2006
Final TakeHome Examination
1. Your responses to the questions in this examination are due no later than 10:00 a.m.
on Monday, May 1, 2006, in mail box marked Ariyawansa in Neill 103. No late
submiss
Math 464Operations Research and Game Theory
Spring 2006
Assignment 2
Please note that this assignment has two pages. This assignment is due at the beginning of
class on Tuesday, February 14, 2006. The maximum number of points given for each part of
each q
Math464  HW 1 Solutions
1
Linear Optimization (Spring 2016)
Brief Solutions to Homework 1
1. We do the following elementary row operation:
R2 R1
1 3  k
1 h  2
1
3

k
.
0 h 3  2 k
with = 0 for the system to be inconsistent.
(a) We need the second
Math464  HW 2 Solutions
1
Linear Optimization (Spring 2016)
Brief Solutions to Homework 2
1. The standard form LP is the following.
min 3x1
+ (x+ x )
3
3
s.t.
x2 4(x+ x ) e1
= 4
3
3
+
x1 5x2 (x3 x3 )
+ s2 = 2
+
x 1 , x 2 , x 3 , x 3 , e1 , s 2
0
2. Le
Math464  HW 3 Solutions
1
Linear Optimization (Spring 2016)
Brief Solutions to Homework 3
1. We first prove that f is convex when each fi is convex.
(a) Since the fi s are convex, [0, 1], and for x, y Rn , we have
fi ( x + (1 )y ) fi (x) + (1 )fi (y), i
Math464  HW 1 Due on Thursday, Jan 21
1
Linear Optimization (Spring 2016) Homework 1
You must staple all pages of your homework submission (if need be).
Identify your submission clearly Write your name and WSU ID on the front page.
The total points (g
Math464  HW 3 Due on Thursday, Feb 4
1
Linear Optimization (Spring 2016) Homework 3
You must staple all pages of your homework submission (if need be).
Identify your submission clearly Write your name and WSU ID on the front page.
BTILO stands for th
Math464  HW 4 Due on Thursday, Feb 11
1
Linear Optimization (Spring 2016) Homework 4
You must staple or paper clip all pages of your submission together, if need be.
Identify your submission clearly Write your name and WSU ID on the front page.
BTILO
Math464  HW 6 Due on Thursday, Mar 3
1
Linear Optimization (Spring 2016) Homework 6
You must staple or paper clip all pages of your submission together, if need be.
Identify your submission clearly Write your name and WSU ID on the front page.
BTILO
Math464  HW 2 Due on Thursday, Jan 28
1
Linear Optimization (Spring 2016) Homework 2
You must staple all pages of your homework submission (if need be).
Identify your submission clearly Write your name and WSU ID on the front page.
BTILO stands for t
Math464  HW 8 Due on Tuesday, Mar 23
1
Linear Optimization (Spring 2010) Homework 8
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 140. You will be graded for
Math 464Operations Research and Game Theory
Spring 2006
Assignment 1
Please note that this assignment has two pages. This assignment is due at the beginning
of class on Tuesday, January 31, 2006. The number of points given for each part of each
question i
Math464  HW 2 Due on Thursday, Jan 28
1
Linear Optimization (Spring 2010) Homework 2
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 145. You will be graded fo
Math464  HW 6 Due on Thursday, Feb 25
1
Linear Optimization (Spring 2010) Homework 6
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 140. You will be graded fo
Math464  HW 7 Due on Friday, Mar 5
1
Linear Optimization (Spring 2010) Homework 7
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 150. You will be graded for 1
Math464  HW 10 Due on Thursday, Apr 8
1
Linear Optimization (Spring 2010) Homework 10
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 140. You will be graded f
Math464  HW 11 Due on Tuesday, Apr 20
1
Linear Optimization (Spring 2010) Homework 11
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 130. You will be graded f
Math464  HW 1 Due on Thursday, Jan 21
1
Linear Optimization (Spring 2010) Homework 1
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 125. You will be graded fo
Math464  HW 3 Due on Thursday, Feb 4
1
Linear Optimization (Spring 2010) Homework 3
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 140. You will be graded for
Math 464Operations Research and Game Theory
Spring 2006
Assignment 7
This assignment is strictly due at the beginning of class on Thursday, April 27, 2006.
A solution to this assignment will be distributed in class on Thursday, April 27, 2006. Since
this
Math 464Operations Research and Game Theory
Spring 2006
Assignment 5
This assignment is due at the beginning of class on Tuesday, April 4, 2006. The maximum
number of points given for each part of each question is indicated within brackets in the left
mar
Math 464Operations Research and Game Theory
Spring 2006
Assignment 3
Please note that this assignment has three pages. This assignment is due at the beginning
of class on February 28, 2006. The maximum number of points given for each part of each
question
Math 464Operations Research and Game Theory
Spring 2006
Assignment 4
This assignment is due at the beginning of class on Tuesday, March 21, 2006. The maximum
number of points given for each part of each question is indicated within brackets in the left
ma
Math464  HW 9 Due on Thursday, Apr 1
1
Linear Optimization (Spring 2010) Homework 9
BTILO stands for the text (Bertsimas and Tsitsiklis Introduction to Linear Optimization).
The total points (given in parentheses) add up to 135. You will be graded for
Math464  HW 4 Solutions
1
Linear Optimization (Spring 2016)
Brief Solutions to Homework 4
1. We rewrite the second constraint for cash availability in the LP formulation (given in
the solutions to Homework 2) as follows:
max 3x1 + 3.4x2
s.t. 3 x1 + 4 x2