TOPIC – LINEAR PROGRAMMING Linear Programming is a mathematical procedure for determining optimal allocation of scarce resources. Requirements of Linear Programming • all problems seek to maximize or minimize some quantity • The presence of restrictions or constraints • There must be alternative courses of action • The objective and constraints in linear programming must be expressed in terms of linear equations or inequalities Objective
Premium Optimization
spreadsheet‚ next step is to use the Solver to find the solution. In the Solver‚ we need to identify the locations (cells) of objective function‚ decision variables‚ nature of the objective function (maximize/minimize) and constraints. Example One (Linear model): Investment Problem Our first example illustrates how to allocate money to different bonds to maximize the total return (Ragsdale 2011‚ p. 121). A trust office at the Blacksburg National Bank needs to determine how to invest $100‚000 in following
Premium Optimization Spreadsheet Mathematics
Z00_REND1011_11_SE_MOD7 PP2.QXD 2/21/11 12:39 PM Page 1 7 MODULE Linear Programming: The Simplex Method LEARNING OBJECTIVES After completing this chapter‚ students will be able to: 1. Convert LP constraints to equalities with slack‚ surplus‚ and artificial variables. 2. Set up and solve LP problems with simplex tableaus. 3. Interpret the meaning of every number in a simplex tableau. 4. Recognize special cases such as infeasibility‚ unboundedness and degeneracy. 5
Premium Optimization Linear programming
Chapter 8 Linear Programming Applications To accompany Quantitative Analysis for Management‚ Eleventh Edition‚ Global Edition by Render‚ Stair‚ and Hanna Power Point slides created by Brian Peterson Copyright © 2012 Pearson Education 8-1 Learning Objectives After completing this chapter‚ students will be able to: 1. Model a wide variety of medium to large LP problems. 2. Understand major application areas‚ including marketing‚ production‚ labor scheduling‚ fuel blending‚ transportation‚ and
Premium Optimization Pearson Education Costs
PROBLEM NUMBER 1 A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5‚000 for every acre he plants with wheat and $3‚000 for every acre he plants with barley. His use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre. What is the maximum profit he can make? SOLUTION TO PROBLEM NUMBER 1 let x = the number of acres of wheat
Premium Optimization Maxima and minima Linear programming
LP (2003) 1 OPERATIONS RESEARCH: 343 1. LINEAR PROGRAMMING 2. INTEGER PROGRAMMING 3. GAMES Books: Ð3Ñ IntroÞ to OR ÐF.Hillier & J. LiebermanÑ; Ð33Ñ OR ÐH. TahaÑ; Ð333Ñ IntroÞ to Mathematical Prog ÐF.Hillier & J. LiebermanÑ; Ð3@Ñ IntroÞ to OR ÐJ.Eckert & M. KupferschmidÑÞ LP (2003) 2 LINEAR PROGRAMMING (LP) LP is an optimal decision making tool in which the objective is a linear function and the constraints on the decision problem are linear equalities and inequalities. It is a very
Premium Optimization Linear programming
going beyond email: How to Master Marketing Automation ; The Advanced Guide to Optimizing Your Marketing Funnel with Lead Nurturing A publication of 2 GOING BEYOND EMAIL: HOW TO MASTER MARKETING AUTOMATION 3 GOING BEYOND EMAIL: HOW TO MASTER MARKETING AUTOMATION IS THIS BOOK RIGHT FOR ME? Not quite sure if this ebook is right for you? See the below description to determine if your level matches the content you are about to read. INTRODUCTORY Introductory
Premium Marketing Internet marketing
He developed strong reciprocal relationships with his suppliers‚ such that they could be assured he would purchase whatever they produced. IKEA’s culture has evolved step-by-step and is seen by those within IKEA as being the cornerstone of its operations. This is believed to such an extent that managers as seen as missionaries embodying the “IKEA-way‚” explaining to new and older exployees why things are done the way they are. IKEA’s management style is based on these early experiences and co-workers
Premium Sweden Ingvar Kamprad Management
472 Chapter 10 Case Problem 2 Distribution and Network Models Supply Chain Design The Darby Company manufactures and distributes meters used to measure electric power consumption. The company started with a small production plant in EI Paso and gradually built a customer base throughout Texas. A distribution center was established in Fort Worth‚ Texas‚ and later‚ as business expanded‚ a second distribution center was established in Santa Fe‚ New Mexico. The EI Paso plant was expanded
Premium Commercial item transport and distribution Supply chain management Logistics
DQ 17 A common form of the product-mix linear programming seeks to find the quantities of items in the product mix that maximizes profit in the presence of limited resources. -True Linear programming helps operations managers make decisions necessary to allocate resources. -True In linear programming‚ the unit profit or unit contribution associated with one decision variable can be affected by the quantity made of that variable or of any other variable in the problem. -False What combination
Premium Optimization Operations research Linear programming