Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Chapter 2.3, Problem 2P

Explanation of Solution

Indicating the solutions using Gauss-Jordan method:

From the given information, observe the following system of linear equations.

x1+x2+x3=4x1+2x2=6

The matrix form of the above system of linear equations is as follows:

[A|b]=(11141206)

Start by replacing row 1 of A|b1(row 1 of A|b)+ row 2 of A|b. The result is as follows:

A1|b1=(01121206)

Now, replace row 2 of A1|b1 - 1(row 2 of A1|b1)+ row 1 of A1|b1. The result is as follows:

A2|b2=(01121114)

Now, replace row 2 of A2|b21(row 2 of A2|b2)+ row 1 of A2|b2. The result is as follows:

A3|b3=(01121022)

Then, replace row 2 of A3|b31(row 2 of A3|b3)+ row 1 of A3|b3

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Chapter 2 Solutions

Introduction to mathematical programming

Chapter 2.3, Problem 3P Chapter 2.3, Problem 4P Chapter 2.3, Problem 5P Chapter 2.3, Problem 6P Chapter 2.3, Problem 7P Chapter 2.3, Problem 8P Chapter 2.3, Problem 9P Chapter 2.4, Problem 1P Chapter 2.4, Problem 2P Chapter 2.4, Problem 3P Chapter 2.4, Problem 4P Chapter 2.4, Problem 5P Chapter 2.4, Problem 6P Chapter 2.4, Problem 7P Chapter 2.4, Problem 8P Chapter 2.4, Problem 9P Chapter 2.5, Problem 1P Chapter 2.5, Problem 2P Chapter 2.5, Problem 3P Chapter 2.5, Problem 4P Chapter 2.5, Problem 5P Chapter 2.5, Problem 6P Chapter 2.5, Problem 7P Chapter 2.5, Problem 8P Chapter 2.5, Problem 9P Chapter 2.5, Problem 10P Chapter 2.5, Problem 11P Chapter 2.6, Problem 1P Chapter 2.6, Problem 2P Chapter 2.6, Problem 3P Chapter 2.6, Problem 4P Chapter 2, Problem 1RP Chapter 2, Problem 2RP Chapter 2, Problem 3RP Chapter 2, Problem 4RP Chapter 2, Problem 5RP Chapter 2, Problem 6RP Chapter 2, Problem 7RP Chapter 2, Problem 8RP Chapter 2, Problem 9RP Chapter 2, Problem 10RP Chapter 2, Problem 11RP Chapter 2, Problem 12RP Chapter 2, Problem 13RP Chapter 2, Problem 14RP Chapter 2, Problem 15RP Chapter 2, Problem 16RP Chapter 2, Problem 17RP Chapter 2, Problem 18RP Chapter 2, Problem 19RP Chapter 2, Problem 20RP Chapter 2, Problem 21RP Chapter 2, Problem 22RP
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