Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
bartleby

Concept explainers

Expert Solution & Answer
Book Icon
Chapter 4.12, Problem 3P

Explanation of Solution

Solving the LP using Big M method:

Given,

minz=3x1+x2

Subject to,

x1+x232x1+x24x1+x2x1,x20

Introduce slack variables S1, S2 of cost coefficients zero each, surplus variable S3 and artificial variable A1 of cost coefficient Big M

After introducing slack variables, the LP problem becomes,

maxz=3x1+x2-MA1-MA2+0.S1+0.S2

Subject to

x1+x2-S1+A132x1+x2+S24x1+x2+A2=3x1,x2,S1,S2,A1,A20

Iteration 1:

  cj-3100-M-M 
3×1+2=5B.Vbjx1x2S1S2A1A2

Min Ratio

MA1311-10103
0S242101002
-MA231100013
Zj  -2M-2MM0-M-M 
CjZj  3+2M1+2M-M000 

Iteration 2:

  cj3100-M-M 
CjZjB

Blurred answer
Students have asked these similar questions
The images I have uploaded are the part 1 to 4 and questions below are continue on the questions uploaded 5. C++ Class Template with Method Stubs #pragma once #include <iostream> #include <string> #include <stdexcept> #include <vector>   template <typename T> class HashTable { private:     struct Entry {         std::string key;         T value;         bool isOccupied;         bool isDeleted;         Entry() : key(""), value(), isOccupied(false), isDeleted(false) {}     };       Entry* table;     size_t capacity;     size_t size;     double loadFactorThreshold;           size_t customHash(const std::string& key) const {         size_t hash = 5381;         for (char c : key) {             hash = ((hash  <<  5) + hash)  +  c;         }         return hash;     }       size_t probe(const std::string& key, bool forInsert = false) const;     void resize();   public:     // Constructor     HashTable(size_t initialCapacity = 101);         // Big…
this project is NOT for graded(marks) purposes, please help me with the introduction. give me answers for the project. i will include an image explaining everything about the project.
Java Graphics (Bonus In this lab, we'll be practicing what we learned about GUIs, and Mouse events. You will need to implement the following: A GUI with a drawing panel. We can click in this panel, and you will capture those clicks as a Point (see java.awt.Point) in a PointCollection class (you need to build this). The points need to be represented by circles. Below the drawing panel, you will need 5 buttons: O о о ○ An input button to register your mouse to the drawing panel. A show button to paint the points in your collection on the drawing panel. A button to shift all the points to the left by 50 pixels. The x position of the points is not allowed to go below zero. Another button to shift all the points to the right 50 pixels. " The x position of the points cannot go further than the You can implement this GUI in any way you choose. I suggest using the BorderLayout for a panel containing the buttons, and a GridLayout to hold the drawing panel and button panels. Regardless of how…

Chapter 4 Solutions

Introduction to mathematical programming

Ch. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 4PCh. 4.5 - Prob. 5PCh. 4.5 - Prob. 6PCh. 4.5 - Prob. 7PCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 7PCh. 4.7 - Prob. 8PCh. 4.7 - Prob. 9PCh. 4.8 - Prob. 1PCh. 4.8 - Prob. 2PCh. 4.8 - Prob. 3PCh. 4.8 - Prob. 4PCh. 4.8 - Prob. 5PCh. 4.8 - Prob. 6PCh. 4.10 - Prob. 1PCh. 4.10 - Prob. 2PCh. 4.10 - Prob. 3PCh. 4.10 - Prob. 4PCh. 4.10 - Prob. 5PCh. 4.11 - Prob. 1PCh. 4.11 - Prob. 2PCh. 4.11 - Prob. 3PCh. 4.11 - Prob. 4PCh. 4.11 - Prob. 5PCh. 4.11 - Prob. 6PCh. 4.12 - Prob. 1PCh. 4.12 - Prob. 2PCh. 4.12 - Prob. 3PCh. 4.12 - Prob. 4PCh. 4.12 - Prob. 5PCh. 4.12 - Prob. 6PCh. 4.13 - Prob. 2PCh. 4.14 - Prob. 1PCh. 4.14 - Prob. 2PCh. 4.14 - Prob. 3PCh. 4.14 - Prob. 4PCh. 4.14 - Prob. 5PCh. 4.14 - Prob. 6PCh. 4.14 - Prob. 7PCh. 4.16 - Prob. 1PCh. 4.16 - Prob. 2PCh. 4.16 - Prob. 3PCh. 4.16 - Prob. 5PCh. 4.16 - Prob. 7PCh. 4.16 - Prob. 8PCh. 4.16 - Prob. 9PCh. 4.16 - Prob. 10PCh. 4.16 - Prob. 11PCh. 4.16 - Prob. 12PCh. 4.16 - Prob. 13PCh. 4.16 - Prob. 14PCh. 4.17 - Prob. 1PCh. 4.17 - Prob. 2PCh. 4.17 - Prob. 3PCh. 4.17 - Prob. 4PCh. 4.17 - Prob. 5PCh. 4.17 - Prob. 7PCh. 4.17 - Prob. 8PCh. 4 - Prob. 1RPCh. 4 - Prob. 2RPCh. 4 - Prob. 3RPCh. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - Prob. 8RPCh. 4 - Prob. 9RPCh. 4 - Prob. 10RPCh. 4 - Prob. 12RPCh. 4 - Prob. 13RPCh. 4 - Prob. 14RPCh. 4 - Prob. 16RPCh. 4 - Prob. 17RPCh. 4 - Prob. 18RPCh. 4 - Prob. 19RPCh. 4 - Prob. 20RPCh. 4 - Prob. 21RPCh. 4 - Prob. 22RPCh. 4 - Prob. 23RPCh. 4 - Prob. 24RPCh. 4 - Prob. 26RPCh. 4 - Prob. 27RPCh. 4 - Prob. 28RP
Knowledge Booster
Background pattern image
Computer Science
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole