Unit 1 Lesson 9 : The Big M Method Learning outcomes • The Big M Method to solve a linear programming problem. In the previous discussions of the Simplex algorithm I have seen that the method must start with a basic feasible solution. In my examples so far‚ I have looked at problems that‚ when put into standard LP form‚ conveniently have an all slack starting solution. An all slack solution is only a possibility when all of the constraints in the problem have or = constraints‚ a starting basic
Premium Optimization Linear programming
MERTON TRUCK COMPANY 1) No. of Model 101= x‚ no. of model 102=y.Unit contribution/model= S.P – (Variable costs + Fixed cost).For Model 101‚ variable cost=36000 /unit‚For Model 102‚ variable cost=33000/unit.Fixed cost for both the model= 8600000 Therefore‚ total contribution z=39000x+38000y-36000x-33000y-8600000Z=3000x+5000y-8600000 The Constraints are:Engine assembly: x + 2y <= 4000Metal stamping: 2x + 2y <=6000Model 101 assembly: 2x <=5000Model 102 assembly: 3y <= 4500x‚y>=0.Solving
Premium Contribution margin Optimization Capacity utilization
Mathematical Models Contents Definition of Mathematical Model Types of Variables The Mathematical Modeling Cycle Classification of Models 2 Definitions of Mathematical Model Mathematical modeling is the process of creating a mathematical representation of some phenomenon in order to gain a better understanding of that phenomenon. It is a process that attempts to match observation with symbolic statement. A mathematical model uses mathematical language to describe a system. Building a
Premium Mathematics Simulation Operations research
Case Study: RED BRAND CANNERS Vice President of Operations Mr. Michell Gorden Controller Mr. William Copper Sale Manager Mr. Charles Myers Production Manager Mr. Dan Tucker Purpose: Decide the amount of tomato products to pack at this season. Tomato Products Whole Tomato Tomato Juice Tomato Paste Information: 1. Amount of Tomato: 3‚000‚000 pounds to be delivered. Tomato quality: 20% (grade A) × 3‚000‚000 = 600‚000 pounds 80% (grade B) × 3‚000‚000 = 2‚400‚000 pounds (provided by production
Premium Optimization Operations research Linear programming
Julia’s Food Booth. Parts A thru C. Please provide linear programming model‚ graphical solution‚ sensitivity report‚ and answers to questions A thru C. (Problem on page 2) [pic] [pic] A) Formulate and solve a linear programming model for Julia that will help you advise her if she should lease the booth. Let‚ X1 =No of pizza slices‚ X2 =No of hot dogs‚ X3 = barbeque sandwiches Formulation: 1. Calculating Objective function co-efficients:
Premium Optimization Linear programming
Linear Programming Application Transportation Problem The Navy has 9‚000 pounds of material in Albany‚ Georgia that it wishes to ship to three installations: San Diego‚ Norfolk‚ and Pensacola. They require 4‚000‚ 2‚500‚ and 2‚500 pounds‚ respectively. Government regulations require equal distribution of shipping among the three carriers. The shipping costs per pound for truck‚ railroad‚ and airplane transit are shown below. Formulate and solve a linear program to determine the shipping
Premium Optimization Linear programming Operations research
The Unit Commitment Problem There exist several approaches to solve the common unit commitment problem. A very common solution is through dynamic programming as discussed in “Power Generation‚ Operation and Control” by Allen J. Wood and Bruce F. Wollenberg (Wood/Wollenberg). A more suitable and effective solution exist through Genetic Algorithm as discussed in the article “Unit Commitment Solution Methodology Using Genetic Algorithm” by K. S. Swarup and S. Yamashiro (Swarup/Yamashiro). Both methods
Premium Genetic algorithm Time Optimization
B.Sc IInd Year (III - semester) MATHEMATICS FOR SESSION (2013 - 2014 only) Paper-I: Advanced Calculus Maximum Marks: 50 University Exam: 40 Minimum Pass Mark : 35 % Internal Assessment: 10 Time allowed: 3 Hrs. Lectures to be delivered: 5 periods (of 45 minutes duration) per week Instructions for paper-setters The question paper will consist of three sections A‚ B and C. Each of sections A and B will have four questions from the respective sections of
Premium Linear programming Calculus Force
Operational research is an interdisciplinary idea that uses thinking and also methods such as mathematical modeling‚ statistics and algorithms to arrive at optimal or near optimal solutions to complex problems in an organization. In an operational research project there are 5 phases‚ namely‚ problem identification‚ formulating problem‚ deriving solution validating model and lastly‚ the implementation of results. The first phase is to identify the problem through the observation of its symptoms
Premium Mathematics Operations research Optimization
|BUAD – 555 Decision Science |October 3rd. | | |2012 | |Mini Exam # 2 | | |Students’ Version
Premium Operations research Optimization Linear programming