Chapter 12 Data Envelopment Analysis Data Envelopment Analysis DEA is an increasingly popular management tool. This write-up is an introduction to Data Envelopment Analysis DEA for people unfamiliar with the technique. For a more in-depth discussion of DEA‚ the interested reader is referred to Seiford and Thrall 1990 or the seminal work by Charnes‚ Cooper‚ and Rhodes 1978 . DEA is commonly used to evaluate the e ciency of a number of producers. A typical statistical approach is characterized
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Blank ntroduction to Management Science‚ 11e (Taylor) Chapter 2 Linear Programming: Model Formulation and Graphical Solution 1) Linear programming is a model consisting of linear relationships representing a firm’s decisions given an objective and resource constraints. Answer: TRUE Diff: 2 Page Ref: 31 Section Heading: Model Formulation Keywords: model formulation AACSB: Analytic skills 2) The objective function always consists of either maximizing or minimizing some value
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product requires 10 hours of processing time on line 1‚ while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit‚ and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. 6. The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of
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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
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Topic : “Use of dual linear programming problem in decision making.” Applications of Linear Programming Linear programming has been applied to a wide variety of constrained optimization problems. Some of these are: Optimal process selection Most products can be manufactured by using a number of processes‚ each requiring a different technology and combination of inputs. Given input prices and the quantity of the commodity that the firm wants to produce‚ linear programming can be used to determine
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This problem‚ as outlined above‚ is an example of a linear programming problem. Linear programming is part of the Optimization Techniques field of Mathematics‚ used for resource allocation and organization. With linear programming problems‚ one takes the inequalities that exist within a given situation and deduces a best case scenario under those particular conditions (Stapel‚ 2009). One particularly effective method of solving linear programming problems is the Simplex Method. The Simplex Method
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INTRODUCTION My topic is oil refinering using linear programming‚ this is under petrochemical industries which mean it will deal more about chemicals‚ this is about optimising the cost using a modelling method in mathematics called linear programming. This is very important because it links what is done in petrochemical industries with mathematics. Since there is a huge need of the products that are produced after petroleum refinering which are petrol‚ gasoline‚ oil‚ diesel and etc so in the
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6 Linear Programming SUPPLEMENT OUTLINE Introduction‚ 6S-2 Solving LP Models Using Excel‚ 6S-17 SUPPLEMENT TO CHAPTER LEARNING OBJECTIVES Linear Programming Model‚ 6S-2 Formulating Some Other Types of Constraints‚ 6S-3 Sensitivity Analysis‚ 6S-19 Objective Function Coefficient Changes‚ 6S-20 Changes in the Right-Hand Side (RHS) Value of a Constraint‚ 6S-21 After completing this supplement‚ you should be able to: 1 Describe the type of problem Graphical Solution Method‚
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Question 2 .2 out of 2 points Correct Graphical solutions to linear programming problems have an infinite number of possible objective function lines. Answer Selected Answer: True Correct Answer: True Question 3 .2 out of 2 points Correct Surplus variables are only associated with minimization problems. Answer Selected Answer: False Correct Answer: False Question 4 .2 out of 2 points Correct In a linear programming problem‚ all model parameters are assumed to be known with certainty
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RECEIVED 1 Question 1 Graphical solution (16 marks) For a linear programming model given below: Decision variables x1 Units of product 1 to produce. x2 – Units of product 2 to produce. Objective function Maximize 4.0x1 + 3.6x2 Constraints Constraint 1: 11x1 + 5x2 > 55 Constraint 2: 3x1 + 4x2 < 36 Constraint 3: 4x1 – 9x2 < 0 Nonnegativity: x1‚ x2 >= 0 Solve this linear programming model by using the graphical approach (Graph paper is provided on the next page). For your graphical solution‚
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