Solving linear programming
|
|
- Clifton Daniels
- 6 years ago
- Views:
Transcription
1 Solving linear programming (From Last week s Introduction) Consider a manufacturer of tables and chairs. They want to maximize profits. They sell tables for a profit of $30 per table and a profit of $10 per chair. Let x= number of tables and y = the number of chairs. Then the profit equations is: There are 5 employees working 40 hours a week for a total of 200 total hours of labor. A table requires 10 hours of labor. Chairs require 2 hour of labor. Then we have the condition on making tables and chairs that the total time spent must be less than 200 hours and the following equation must be true. A second condition is that there are two employees that stain the tables and chairs. Thus, there is at most 80 hours to stain the tables and chairs. It takes 1 hour to stain a chair and 3 hours to stain a table. Thus there is a second conditional equation We also have the conditions that the number of tables and chairs created must be greater or equal to zero. Giving us two more conditions: With this information we can set up a mathematical process to solve called linear programming. The way this equation would be stated is to Maximize the profit equation Subject to the four constraint equations These four conditions stated above are called constraint equations. Today our goal will be to examine the area where all constraints are valid. This area is called the feasible region, as it represents the area where only possible answers occur.
2 Graph the four constraint equations. Since the constraint equations and imply that the answer must be in the first quadrant. We have already shaded this region. Please graph and correctly shade the other two constraint equations The region you have shaded is called the feasible region as only points in the shaded region have values that meet all constraints. Thus, these points are the only valid points for checking for determining maximum profits. Solving the Linear Programming Problem Using EXCEL to solve the Linear Programming problem (SIMPLEX Method). SIMPLEX method is the most common method for solving a linear system. This is the method used by solve in EXCEL. In practice EXCEL uses Matrices to solve these problems.
3 Let s solve our existing problem: Maximize profit Subject to the constraints These four conditions stated above are called constraint equations. Open an EXCEL Spread sheet Labels in A3, we have labeled x= In A4, we have labeled y= The values for x will actually be in B3 and for y will be in B4. They are currently left blank which defaults to zero. Profit is what we wish to maximize is in A6 and in B6 we typed the equation =30*B3 + 10*B4. Constraints is the label in A8. In B8, we have placed the just the equation side of the constraint =10*B3+2*B4 In B9, we have placed the second constraint, =3*B3+B4 We will show how to create an inequality in the next step. We will also see that we do not need to enter the last two constraints Once this is entered, click on the Data tab and click on solver
4 In the Solver Window, the first step is to change the pull down window to read Simplex LP At this time, also make sure the Make all unconstrained variables Non-Negative We can now enter the equations Begin by entering the cell you wish to maximize $B$6 in set objective. Click on Max And enter the cells you will allow to change separated by commas. $B$3,$B$4 Next step (below) we can enter constraints Start this process by clicking on Add
5 When you have clicked on Add a new window appears to add a constraint. Enter the cell of the first constraint Pick <= And enter 200 When this is done, click ok and the constraint will be added. Repeat For the second constraint The solver parameters will now have the constraints entered. Remember the constraints that x and y have to both be greater than equal to zero are covered by clicking the non-negative box. Click solve
6 You will now have a new window open stating a solution has been found and asking if you wish to keep the solution. Click OK You have a solution that you can maximize profit at $ when the number of tables created is 10 and the number of chairs created is 50. Challenge problem. For this challenge problem we are going to produce four items In cell A1 enter the label Item 1 and B1 will represent the number of item 1 s created In cell A2 enter the label Item 2 and B2 will represent the number of item 2 s created In cell A3 enter the label Item 3 and B3 will represent the number of item 3 s created In cell A4 enter the label Item 4 and B4 will represent the number of item 4 s created The profit equation that will be maximized is
7 The constraints are that B1, B2, B3, B4 >= 0 and will be entered by checking the Non-Negative Box. Also subjet to. Note: These equations are all less than Note: These four equations are all greater than The answer is? The number of item 1 = The number of item 2 = The number of item 3 = The number of item 4 = The maximum profit is
Let s start by examining an Excel worksheet for the linear programming. Maximize P 70x 120y. subject to
Excel is a useful tool for solving linear programming problems. In this question we ll solve and analyze our manufacturing problem with Excel. Although this problem can easily be solved graphically or
More information1 GIAPETTO S WOODCARVING PROBLEM
1 GIAPETTO S WOODCARVING PROBLEM EZGİ ÇALLI OBJECTIVES CCSS.MATH.CONTENT.HSA.REI.D.12: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of
More informationLinear Programming. L.W. Dasanayake Department of Economics University of Kelaniya
Linear Programming L.W. Dasanayake Department of Economics University of Kelaniya Linear programming (LP) LP is one of Management Science techniques that can be used to solve resource allocation problem
More informationLinear Programming with Bounds
Chapter 481 Linear Programming with Bounds Introduction Linear programming maximizes (or minimizes) a linear objective function subject to one or more constraints. The technique finds broad use in operations
More informationLinear Programming: Basic Concepts. Chapter 2: Hillier and Hillier
Linear Programming: Basic Concepts Chapter 2: Hillier and Hillier Agenda Define Linear Programming The Case of the Wyndor Glass Co. A Maximization Problem Developing a Mathematical Representation of Wyndor
More informationUsing Linear Programming for Management Decisions
Using Linear Programming for Management Decisions By Tim Wright Linear programming creates mathematical models from real-world business problems to maximize profits, reduce costs and allocate resources.
More informationConcept: Solving Inequalities Name:
Concept: Solving Inequalities Name: You should have completed Equations Section 7 Part A: Solving Inequalities before beginning this handout. COMPUTER COMPONENT Instructions: In follow the Content Menu
More informationOptimization in One Variable Using Solver
Chapter 11 Optimization in One Variable Using Solver This chapter will illustrate the use of an Excel tool called Solver to solve optimization problems from calculus. To check that your installation of
More informationIntroduction to Linear Programming. Algorithmic and Geometric Foundations of Optimization
Introduction to Linear Programming Algorithmic and Geometric Foundations of Optimization Optimization and Linear Programming Mathematical programming is a class of methods for solving problems which ask
More informationConcept: Solving Inequalities Name:
Concept: Solving Inequalities Name: You should have completed Equations Section 7 Part A: Solving Inequalities before beginning this handout. COMPUTER COMPONENT Instructions: In follow the Content Menu
More informationFarming Example. Lecture 22. Solving a Linear Program. withthe Simplex Algorithm and with Excel s Solver
Lecture 22 Solving a Linear Program withthe Simplex Algorithm and with Excel s Solver m j winter, 2 Farming Example Constraints: acreage: x + y < money: x + 7y < 6 time: x + y < 3 y x + y = B (, 8.7) x
More informationIntroduction to Linear Programming. Chapter 3: Hillier and Lieberman Chapter 3: Decision Tools for Agribusiness Dr. Hurley s AGB 328 Course
Introduction to Linear Programming Chapter 3: Hillier and Lieberman Chapter 3: Decision Tools for Agribusiness Dr Hurley s AGB 328 Course Terms to Know Simplex Method, Feasible Region, Slope- Intercept
More informationChapter 13-1 Notes Page 1
Chapter 13-1 Notes Page 1 Constrained Optimization Constraints We will now consider how to maximize Sales Revenue & Contribution Margin; or minimize costs when dealing with limited resources (constraints).
More informationGiapetto s Woodcarving Problem
MTE 503-1 Computer Technology in Mathematics Education TI Worksheet Ezgi ÇALLI Class level: 9-10 Objectives: IGCSE (0607-Extended, 2014): (Extension to) 7.7. Linear inequalities on the Cartesian plane
More informationLP Graphic Solution & Solver for LP
LP Graphic Solution & Excel@ Solver for LP 5X + 3Y = 0 (3) Draw the objective function line on the graph: Any (including the optimal) LP solution has to be part of
More informationPrepared By. Handaru Jati, Ph.D. Universitas Negeri Yogyakarta.
Prepared By Handaru Jati, Ph.D Universitas Negeri Yogyakarta handaru@uny.ac.id Chapter 8 Using The Excel Solver To Solve Mathematical Programs Chapter Overview 8.1 Introduction 8.2 Formulating Mathematical
More informationChapter 4. Linear Programming
Chapter 4 Linear Programming For All Practical Purposes: Effective Teaching Occasionally during the semester remind students about your office hours. Some students can perceive that they are bothering
More informationNOTATION AND TERMINOLOGY
15.053x, Optimization Methods in Business Analytics Fall, 2016 October 4, 2016 A glossary of notation and terms used in 15.053x Weeks 1, 2, 3, 4 and 5. (The most recent week's terms are in blue). NOTATION
More informationWEEK 4 REVIEW. Graphing Systems of Linear Inequalities (3.1)
WEEK 4 REVIEW Graphing Systems of Linear Inequalities (3.1) Linear Programming Problems (3.2) Checklist for Exam 1 Review Sample Exam 1 Graphing Linear Inequalities Graph the following system of inequalities.
More informationName: THE SIMPLEX METHOD: STANDARD MAXIMIZATION PROBLEMS
Name: THE SIMPLEX METHOD: STANDARD MAXIMIZATION PROBLEMS A linear programming problem consists of a linear objective function to be maximized or minimized subject to certain constraints in the form of
More informationLesson 08 Linear Programming
Lesson 08 Linear Programming A mathematical approach to determine optimal (maximum or minimum) solutions to problems which involve restrictions on the variables involved. 08 - Linear Programming Applications
More informationChapter 7. Linear Programming Models: Graphical and Computer Methods
Chapter 7 Linear Programming Models: Graphical and Computer Methods To accompany Quantitative Analysis for Management, Eleventh Edition, by Render, Stair, and Hanna Power Point slides created by Brian
More informationExcel Tips and FAQs - MS 2010
BIOL 211D Excel Tips and FAQs - MS 2010 Remember to save frequently! Part I. Managing and Summarizing Data NOTE IN EXCEL 2010, THERE ARE A NUMBER OF WAYS TO DO THE CORRECT THING! FAQ1: How do I sort my
More informationFull file at https://fratstock.eu. Linear Programming Models: Graphical and Computer Methods
Chapter 2: Linear Programming Models: Graphical and Computer Methods Multiple Choice 1. Consider the following linear programming model: Max X 1 2 + X 2 + 3X 3 X 1 + X 2 3 X 1 + X 2 1 This problem violates
More informationc) How many students took none of the three subjects?
9 Final Fall 7 []. EVALUATE EACH OF THE FOLLOWING. SHOW ALL WORK. SIMPLIFY YOUR ANSWERS TO A SINGLE INTEGER. A) 6! 4! B) C ( 7, 4) C) P ( 9,4) []. In a recent survey of a senior class of 4 students the
More informationGroup Administrator. ebills csv file formatting by class level. User Guide
Group Administrator ebills csv file formatting by class level User Guide Version 1.0 February 10, 2015 Table of Content Excel automated template... 3 Enable Macro setting in Microsoft Excel... 3 Extracting
More informationPlease consider the environment before printing this tutorial. Printing is usually a waste.
Ortiz 1 ESCI 1101 Excel Tutorial Fall 2011 Please consider the environment before printing this tutorial. Printing is usually a waste. Many times when doing research, the graphical representation of analyzed
More informationMathematics for Business and Economics - I. Chapter7 Linear Inequality Systems and Linear Programming (Lecture11)
Mathematics for Business and Economics - I Chapter7 Linear Inequality Systems and Linear Programming (Lecture11) A linear inequality in two variables is an inequality that can be written in the form Ax
More informationLinear Programming. ICM Unit 3 Day 1 Part 1
Linear Programming ICM Unit 3 Day 1 Part 1 Arrival: Tools of the Trade Pencils Grab a couple to SHARE with your partner. Graph Paper Two pieces per student for today. Ruler One per student. Get out a NEW
More informationLinear Programming Applications. Software for Linear Programming
Linear Programming Applications Software for Linear Programming Objectives Use of software to solve LP problems MMO Software with eample Graphical Method Simple Method Simple method using optimization
More informationMathematics LBS 4. Spreadsheet Mathematics: Statistics and Graphing. Finding the Mean, Median, & Mode
Mathematics LBS 4 Spreadsheet Mathematics: Statistics and Graphing Lab 2: Finding the Mean, Median, & Mode Microsoft Excel Logo and all screens captured by permission of Microsoft Goal To use Excel to
More informationLinear Programming Problems: Geometric Solutions
Linear Programming Problems: Geometric s Terminology Linear programming problems: problems where we must find the optimum (minimum or maximum) value of a function, subject to certain restrictions. Objective
More informationA Survey of Software Packages for Teaching Linear and Integer Programming
A Survey of Software Packages for Teaching Linear and Integer Programming By Sergio Toledo Spring 2018 In Partial Fulfillment of Math (or Stat) 4395-Senior Project Department of Mathematics and Statistics
More informationWEEK NO. 12 MICROSOFT EXCEL 2007
WEEK NO. 12 MICROSOFT EXCEL 2007 LESSONS OVERVIEW: GOODBYE CALCULATORS, HELLO SPREADSHEET! 1. The Excel Environment 2. Starting A Workbook 3. Modifying Columns, Rows, & Cells 4. Working with Worksheets
More informationEcon 172A - Slides from Lecture 9
1 Econ 172A - Slides from Lecture 9 Joel Sobel October 25, 2012 2 Announcements Important: Midterm seating assignments. Posted. Corrected Answers to Quiz 1 posted. Midterm on November 1, 2012. Problems
More informationSeptember 10- September 15
September 10- September 15 You will be given a sheet of paper to write your bell work on. If you need more room you may use an extra sheet of paper, but be sure to staple the scratch paper to the Bell
More informationFormatting Spreadsheets in Microsoft Excel
Formatting Spreadsheets in Microsoft Excel This document provides information regarding the formatting options available in Microsoft Excel 2010. Overview of Excel Microsoft Excel 2010 is a powerful tool
More informationGraphing Linear Inequalities in Two Variables.
Many applications of mathematics involve systems of inequalities rather than systems of equations. We will discuss solving (graphing) a single linear inequality in two variables and a system of linear
More informationExcel 2010 Statistics
Excel 2010 Statistics Table of Contents Exploring Scenarios...3 What is a Scenario?... 3 Creating a Scenario... 4 Saving Multiple Scenarios... 8 Merging Scenarios... 10 Creating a Scenario Summary Report...
More informationAlg2H Chapter 4 Review Sheet Date Wk #11. Let
AlgH Chapter 4 Review Sheet Date Wk # ) x z x y 8 y 9z 4 ) y 0 7y ) 6 7 8 x y 5 4 x y x y z 7 4) x y z 0 f ( x) x 5 Let g( x) 7 h( x) 4 x 5) f (h()) 6) h (g()) 7) f ( f ( )) 8) g ( f ( 5)) h 0) h ( ) )
More informationSetup and graphical solution of Linear Programming Problems [2-variables] Mathematical Programming Characteristics
Setup and graphical solution of Linear Programming Problems [2-variables] Mathematical Programming Characteristics Decisions must be made on the levels of a two or more activities. The levels are represented
More informationHow To: Querying a Database in Excel
How To: Querying a Database in Excel Document 2013 Thor Kolner. All rights reserved. Challenge: A project manager was wasting time entering information into Excel that had already been entered into his
More informationApplications of Linear Programming
Applications of Linear Programming lecturer: András London University of Szeged Institute of Informatics Department of Computational Optimization Lecture 1 Why LP? Linear programming (LP, also called linear
More informationIntroduction to Linear Programming
Introduction to Linear Programming Linear Programming Applied mathematics is all about applying mathematical techniques to understand or do something practical. Optimization is all about making things
More informationSafari ODBC on Microsoft 2010
Safari ODBC on Microsoft 2010 Creating an Excel spreadsheet using Safari ODBC 1. Click Data/From Other Sources/From Microsoft Query 2. Select your data source and click OK 3. Enter your Reflections username
More informationLinear Programming: A Geometric Approach
Chapter 3 Linear Programming: A Geometric Approach 3.1 Graphing Systems of Linear Inequalities in Two Variables The general form for a line is ax + by + c =0. The general form for a linear inequality is
More informationChapter 4 Linear Programming
Chapter Objectives Check off these skills when you feel that you have mastered them. From its associated chart, write the constraints of a linear programming problem as linear inequalities. List two implied
More informationApplication of Cutting Stock Problem in Minimizing The Waste of Al-Quran Cover
Kaunia, Vol.XII, Num., April 206, pp. 7~22 Available online at http://ejournal.uin-suka.ac.id/saintek/kaunia Application of Cutting Stock Problem in Minimizing The Waste of Al-Quran Cover Noor Saif Muhammad
More informationTMA946/MAN280 APPLIED OPTIMIZATION. Exam instructions
Chalmers/GU Mathematics EXAM TMA946/MAN280 APPLIED OPTIMIZATION Date: 03 05 28 Time: House V, morning Aids: Text memory-less calculator Number of questions: 7; passed on one question requires 2 points
More informationNotes for Lecture 18
U.C. Berkeley CS17: Intro to CS Theory Handout N18 Professor Luca Trevisan November 6, 21 Notes for Lecture 18 1 Algorithms for Linear Programming Linear programming was first solved by the simplex method
More informationBusiness Data Analysis MA0123. Dr Gavin Shaddick Department of Mathematical Sciences 4W 5.7
Business Data Analysis MA0123 Dr Gavin Shaddick Department of Mathematical Sciences g.shaddick@bath.ac.uk 4W 5.7 Lectures and computer labs Two lectures a week (Monday and Friday). One computing lab (time
More informationDocumenting Models in Word
Documenting Models in Word This document is intended to illustrate some methods for communicating models in written form, using Microsoft Word. We use the example of Malcolm s Glass Shop, which is found
More informationORS Employee Contact Information (ECI) Build MR.299
ORS Employee Contact Information (ECI) Build MR.299 Use this program to generate a file that contains the contact information for your employees. The program will gather the information requested by the
More informationAhigh school curriculum in Algebra 2 contains both solving systems of linear equations,
The Simplex Method for Systems of Linear Inequalities Todd O. Moyer, Towson University Abstract: This article details the application of the Simplex Method for an Algebra 2 class. Students typically learn
More information1. List the Intercepts of the Inequality and then sketch the graph using the Math 125 method of shading
Math 125 Final Exam Practice 1. List the Intercepts of the Inequality and then sketch the graph using the Math 125 method of shading 18x10y 90 2. USING ALGEBA(meaning no calculators), find the solution
More informationFunctions in Excel. Structure of a function: Basic Mathematical Functions. Arithmetic operators: Comparison Operators:
Page1 Functions in Excel Formulas (functions) are equations that perform calculations on values in your spreadsheet. A formula always starts with an equal sign (=). Example: =5+2*7 This formula multiples
More informationEuroSymphony Solver. The Simplex Algorithm
EuroSymphony Solver After opening Lotus Symphony Spreadsheet EuroSymphony Solver can be reached in Tools menu EuroSymphony Solver submenu. It provides four algorithms to solve optimization problems, namly
More informationMathematics. Linear Programming
Mathematics Linear Programming Table of Content 1. Linear inequations. 2. Terms of Linear Programming. 3. Mathematical formulation of a linear programming problem. 4. Graphical solution of two variable
More informationConvex Optimization CMU-10725
Convex Optimization CMU-10725 2. Linear Programs Barnabás Póczos & Ryan Tibshirani Please ask questions! Administrivia Lecture = 40 minutes part 1-5 minutes break 35 minutes part 2 Slides: http://www.stat.cmu.edu/~ryantibs/convexopt/
More informationSection Graphing Systems of Linear Inequalities
Section 3.1 - Graphing Systems of Linear Inequalities Example 1: Find the graphical solution of the inequality y x 0. Example 2: Find the graphical solution of the inequality 5x 3y < 15. 1 How to find
More informationExport Desktop Motion Analyzer profiles to Motion Analyzer Online: SolidWorks Motion Study Move Profile
Export Desktop Motion Analyzer profiles to Motion Analyzer Online: SolidWorks Motion Study Move Profile For: Motion profiles with simple or static loads Splits motion profile into user defined number of
More informationx Boundary Intercepts Test (0,0) Conclusion 2x+3y=12 (0,4), (6,0) 0>12 False 2x-y=2 (0,-2), (1,0) 0<2 True
MATH 34 (Finite Mathematics or Business Math I) Lecture Notes MATH 34 Module 3 Notes: SYSTEMS OF INEQUALITIES & LINEAR PROGRAMMING 3. GRAPHING SYSTEMS OF INEQUALITIES Simple Systems of Linear Inequalities
More informationLinear Programming the simple Wyndor Glass example
Linear Programming the simple Wyndor Glass example tks@imm.dtu.dk Informatics and Mathematical Modeling Technical University of Denmark 1 Outline Abbreviations LP parts: Decision variables Objective function
More informationCS483 Analysis of Algorithms Lecture 09 Linear Programming 01
CS483 Analysis of Algorithms Lecture 09 Linear Programming 01 Jyh-Ming Lien April 09, 2009 this lecture note is based on Algorithms by S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani and to the Design
More informationA Real Life Application of Linear Programming
Dagon University Research Journal 2012, Vol. 4 A Real Life Application of Linear Programming Win Win Myo * Abstract Linear programming is heavily used in microeconomics and company management, such as
More informationLINEAR PROGRAMMING. Chapter Overview
Chapter 12 LINEAR PROGRAMMING 12.1 Overview 12.1.1 An Optimisation Problem A problem which seeks to maximise or minimise a function is called an optimisation problem. An optimisation problem may involve
More informationService Line Export and Pivot Table Report (Windows Excel 2010)
Service Line Export and Pivot Table Report (Windows Excel 2010) In this tutorial, we will take the Service Lines of the Active Students only and only the most recent record to take a snapshot look at approximate
More informationQuantitative Technique
Quantitative Technique Subject Course Code Number : MMAS 521 : Optimization Techniques for Managerial Decisions Instructor : Dr. Umesh Rajopadhyaya Credit Hours : 2 Main Objective : The objective of the
More informationAn Introduction to Management Science, 12e. Instructions for Using Excel 2007
An Introduction to Management Science, 12e Instructions for Using Excel 2007 Appendix 12.2 Simulation Using Crystal Ball Pages 591 2: Defining and Entering Assumptions We are now ready to define the probability
More information4.1 The original problem and the optimal tableau
Chapter 4 Sensitivity analysis The sensitivity analysis is performed after a given linear problem has been solved, with the aim of studying how changes to the problem affect the optimal solution In particular,
More informationReview for Mastery Using Graphs and Tables to Solve Linear Systems
3-1 Using Graphs and Tables to Solve Linear Systems A linear system of equations is a set of two or more linear equations. To solve a linear system, find all the ordered pairs (x, y) that make both equations
More informationWhat s Linear Programming? Often your try is to maximize or minimize an objective within given constraints
Linear Programming What s Linear Programming? Often your try is to maximize or minimize an objective within given constraints A linear programming problem can be expressed as a linear function of certain
More informationCDG2A/CDZ4A/CDC4A/ MBT4A ELEMENTS OF OPERATIONS RESEARCH. Unit : I - V
CDG2A/CDZ4A/CDC4A/ MBT4A ELEMENTS OF OPERATIONS RESEARCH Unit : I - V UNIT I Introduction Operations Research Meaning and definition. Origin and History Characteristics and Scope Techniques in Operations
More informationUsing the Graphical Method to Solve Linear Programs J. Reeb and S. Leavengood
PERFORMANCE EXCELLENCE IN THE WOOD PRODUCTS INDUSTRY EM 8719-E October 1998 $2.50 Using the Graphical Method to Solve Linear Programs J. Reeb and S. Leavengood A key problem faced by managers is how to
More informationGetting Started Graphs of Functions Chapter 1
Correlation table for Applied Calculus, 6th ed. and Brief Applied Calculus, 6th ed. by Berresford- Rockett (greyed sections are not in the brief version) Excel Guide Section Chapter in Text Getting Started
More informationLINEAR PROGRAMMING INTRODUCTION 12.1 LINEAR PROGRAMMING. Three Classical Linear Programming Problems (L.P.P.)
LINEAR PROGRAMMING 12 INTRODUCTION ou are familiar with linear equations and linear inequations in one and two variables. They can be solved algebraically or graphically (by drawing a line diagram in case
More informationLocating Specific Files on the Technology Resource DVD
Locating Specific Files on the Technology Resource DVD (Refers to all T4 Technology Resource DVD s that were issued from Tuesday 28/9/10 onwards) Instructions to locate the Excel file with the location
More informationEXCEL 2003 DISCLAIMER:
EXCEL 2003 DISCLAIMER: This reference guide is meant for experienced Microsoft Excel users. It provides a list of quick tips and shortcuts for familiar features. This guide does NOT replace training or
More informationBCN Decision and Risk Analysis. Syed M. Ahmed, Ph.D.
Linear Programming Module Outline Introduction The Linear Programming Model Examples of Linear Programming Problems Developing Linear Programming Models Graphical Solution to LP Problems The Simplex Method
More informationHow to Import Part Numbers to Proman
How to Import Part Numbers to Proman This is a brief document that outlines how to take an Excel spreadsheet and either load new parts numbers into Proman or update data on existing part numbers. Before
More informationSection Notes 4. Duality, Sensitivity, and the Dual Simplex Algorithm. Applied Math / Engineering Sciences 121. Week of October 8, 2018
Section Notes 4 Duality, Sensitivity, and the Dual Simplex Algorithm Applied Math / Engineering Sciences 121 Week of October 8, 2018 Goals for the week understand the relationship between primal and dual
More informationLINEAR PROGRAMMING (LP), GRAPHICAL PRESENTATION GASPAR ASAMPANA
LINEAR PROGRAMMING (LP), GRAPHICAL PRESENTATION GASPAR ASAMPANA INTRODUCTION Linear Programming a is combination of a linear objective function and set of linear constraints. The linear constraints express
More informationSect Linear Inequalities in Two Variables
Sect 9. - Linear Inequalities in Two Variables Concept # Graphing a Linear Inequalit in Two Variables Definition Let a, b, and c be real numbers where a and b are not both zero. Then an inequalit that
More informationThe Islamic University of Gaza Faculty of Commerce Quantitative Analysis - Dr. Samir Safi Midterm #2-28/4/2014
The Islamic University of Gaza Faculty of Commerce Quantitative Analysis - Dr. Samir Safi Midterm #2-28/4/2014 Name TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1)
More informationChapter 2: Linear Programming - Maximization
2.0: Mathematical Programming The next five chapters in the text focus on mathematical programming. The father of mathematical programming is George Dantzig. Between 1947 and 1949, Dantzig developed the
More informationUploading Journal Entries from Excel
Uploading Journal Entries from Excel Using Excel, you may create journal entries for upload to the AS400. The uploaded entries may add to an existing batch of journal entries, overwrite an existing batch,
More informationIntermediate Excel Training Course Content
Intermediate Excel Training Course Content Lesson Page 1 Absolute Cell Addressing 2 Using Absolute References 2 Naming Cells and Ranges 2 Using the Create Method to Name Cells 3 Data Consolidation 3 Consolidating
More informationMAFSI BUSINESS BAROMETER REPORTING TOOL HOW-TO GUIDE
MAFSI BUSINESS BAROMETER REPORTING TOOL HOW-TO GUIDE Thank you for taking the time to participate in the MAFSI Business Barometer Surveys. The following guide is intended to make using the Barometer Calculator
More informationSlide 1 / 96. Linear Relations and Functions
Slide 1 / 96 Linear Relations and Functions Slide 2 / 96 Scatter Plots Table of Contents Step, Absolute Value, Piecewise, Identity, and Constant Functions Graphing Inequalities Slide 3 / 96 Scatter Plots
More informationQuestion 2: How do you solve a linear programming problem with a graph?
Question : How do you solve a linear programming problem with a graph? Now that we have several linear programming problems, let s look at how we can solve them using the graph of the system of inequalities.
More informationAllowing access to Outlook 2000 folders Version 1.00
Allowing access to Outlook 2000 folders Version 1.00 Need to Know TM To allow another network user access to some or all of your Outlook folders you need to complete two processes. One in your Outlook
More informationINTERNATIONAL HEALTH INSURANCE
Policy and Procedure Overview INTERNATIONAL HEALTH INSURANCE 1. You will first generate a list of all UConn employees requesting International Health Insurance for their business travel. o This is done
More informationUniversity of North Dakota PeopleSoft Finance Tip Sheets. Utilizing the Query Download Feature
There is a custom feature available in Query Viewer that allows files to be created from queries and copied to a user s PC. This feature doesn t have the same size limitations as running a query to HTML
More informationPractice Exam III - Answers
Department of Mathematics University of Notre Dame Math 10120 Finite Math Spring 2015 Name: Instructor: Migliore Practice Exam III - Answers April 16, 2015 This exam is in two parts on 13 pages and contains
More informationGraphical Methods in Linear Programming
Appendix 2 Graphical Methods in Linear Programming We can use graphical methods to solve linear optimization problems involving two variables. When there are two variables in the problem, we can refer
More informationQuadratic Equations Group Acitivity 3 Business Project Week #5
MLC at Boise State 013 Quadratic Equations Group Acitivity 3 Business Project Week #5 In this activity we are going to further explore quadratic equations. We are going to analyze different parts of the
More informationAMY OH S MEETING ON EXPORTING CUSTOM REPORTS, PIVOT TABLES & MORE (Created by Olga Killeen)
AMY OH S MEETING ON EXPORTING CUSTOM REPORTS, PIVOT TABLES & MORE (Created by Olga Killeen) A. Exporting Report to Spreadsheet Format 1. Go to Reports and practice on Employee Profile Report. EP8l, API
More informationWrite all responses on separate paper. Show your work for credit. Write in complete sentences.
Math 13 Liberal Arts Math HW4 Spring 13 Name Write all responses on separate paper. Show your work for credit. Write in complete sentences. 1. Graph the two lines described by the equations 2x + 7y = 61
More information1. In your teams, give at least one combination of boomerangs that would meet Phil and Cathy s requirements. How much money would they make?
Algebra 2 Chapter 3: Linear Systems LS 3-3 Systems of inequalities Phil and Cathy make and sell boomerangs for a school event in order to raise money for the local food bank. They plan to make them in
More informationMA30SA Applied Math Unit D - Linear Programming Revd:
1 Introduction to Linear Programming MA30SA Applied Math Unit D - Linear Programming Revd: 120051212 1. Linear programming is a very important skill. It is a brilliant method for establishing optimum solutions
More information