63 TRANSPORTATION PROBLEMS 63.1 INTRODUCTION A scooter production company produces scooters at the units situated at various places (called origins) and supplies them to the places where the depot (called destination) are situated. Here the availability as well as requirements of the various depots are finite and constitute the limited resources. This type of problem is known as distribution or transportation problem in which the key idea is to minimize the cost or the time of transportation
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(Balakrishnan/Render/Stair) Chapter 2 Linear Programming Models: Graphical and Computer Methods 2.1 Chapter Questions 1) Consider the following linear programming model: Max X12 + X2 + 3X3 Subject to: X1 + X2 ≤ 3 X1 + X2 ≤ 1 X1‚ X2 ≥ 0 This problem violates which of the following assumptions? A) certainty B) proportionality C) divisibility D) linearity E) integrality Answer: D Page Ref: 22 Topic: Developing a Linear Programming Model Difficulty: Easy 2) Consider the following linear programming model: Min 2X1
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Linear Programming Concept Paper There are two types of linear programming: 1. Linear Programming- involves no more than 2 variables‚ linear programming problems can be structured to minimize costs as well as maximize profits. Due to the increasing complexity of business organizations‚ the role of the management executive as a decision maker is becoming more and more difficult. Linear programming is a useful technique to solve such problems. The necessary condition is that the data must be
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An Introduction to Linear Programming Introduction to Quantitative Management‚ Anderson Iqra University‚ Main Campus(Management Science) Course: Management Science Faculty: Iftikhar Mubbashir Date: March 1‚ 2013 Spring 2013 Assignment‐1 (Solution) Q‐1) 2 a‚ b‚ and e‚ are acceptable linear programming relationships. c is not acceptable because of − 2x 2 ‚ d is not acceptable because of 2 x 1 ‚ f is not acceptable because of
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Simplex Method — more examples with standard problems COPYRIGHT © 2006 by LAVON B. PAGE Farmer problem (once again) A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre of corn planted‚ her expenses are $50 and for each acre of soybeans planted‚ her expenses are $100. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90. If the total amount of
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Dr. Syed Jamal Hussain Seat # 03 Course# 507 MAIN OBJECTIVE OF PROBLEM: Main objective of the problem is to maximize profit of the company‚ that produces milk made products and minimize shipping cost of these products to supply at different stores in the city. The main objective is achieve by using linear programming optimization methods. EXACT PROBLEM DEFINITION: A company produces milk made products such as‚ Cream‚ Skim milk‚ Full Cream Milk‚ butter
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EMP 504 Quantitative methods in Management Name: Yi-Chun Kuo Student id: 106357165 HW #7: Linear Programming Applications Due Date: 11pm on Nov 6‚ 2008 Davis Instrument has two manufacturing plants located in Atlanta‚ Georgia. Product demand varies considerably from month to month‚ causing Davis extreme difficulty in workforce scheduling. Recently Davis started hiring temporary workers supplied by Workers Unlimited‚ a company that specializes in providing temporary employees for firms in the
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outsourcing to keep up. Currently‚ we outsource only coarse and medium-sized yarn‚ but we believe that it would be more efficient to look at outsourcing all types. There are so many potential suppliers and constraints to consider that we constructed a linear programming model to identify our best option and check our solution’s sensitivity to changes in our situation. We’ve analyzed our potential suppliers for each gauge‚ taking into account their capacity‚ cost of production for each plant‚ and transportation
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Linear Programming is a mathematical technique useful for allocation of scarce or limited resources to several competing activities on the basis of given criterion of optimality.The usefulness of linear programming as a tool for optimal decision-making on resource allocation‚ is based on its applicability to many diversified decision problems. The effective use and application requires‚ as on its applicability to many diversified decision problems. The effective use and application requires‚ as a
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1. Discuss why and how you would use a liner programming model for a project of your choice‚ either from your own work or as a hypothetical situation. Be sure that you stae your situation first‚ before you develpp the LP model Linear programming is a modeling technique that is used to help managers make logical and informed decisions. All date and input factors are known with certainty. Linear program models are developed in three different steps: Formulation Solution Interpretation
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