Research Code: IT504D Contact: 3L + 1T Credits: 4 Module I Linear Programming Problems (LPP): Basic LPP and Applications; Various Components of LP Problem Formulation. Solution of Linear Programming Problems: Solution of LPP: Using Simultaneous Equations and Graphical Method; Definitions: Feasible Solution‚ Basic and non-basic Variables‚ Basic Feasible Solution‚ Degenerate and Nondegenerate Solution‚ Convex set and explanation with examples. [5L] Solution of LPP by Simplex Method; Charnes’ Big-M Method;
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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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in completing this project. TABLE OF CONTENTS 1. Linear Programming ……........…………………………….................................4 2. Transportation Problem ……………………………............................................5 3. Case Study………………………………………..................................................8 4. Other Methods of solving transportation problem..................................................11 LINEAR PROGRAMMING Linear programming is a mathematical method for determining a way to achieve
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money to the government.| _A___ 6. Linear programming problems have a.|linear objective functions‚ non-linear constraints.| b.|non-linear objective functions‚ non-linear constraints.| c.|non-linear objective functions‚ linear constraints.| d.|linear objective functions‚ linear constraints.| ____C 7. The first step in formulating a linear programming problem is a.|Identify any upper or lower bounds on the decision variables.| b.|State the constraints as linear combinations of the decision variables
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Course MBA – 2nd Semester Subject Operations Research Assignment MB0048 – Set 1 Q.1. (a) what is linear programming problem? (b) A toy company manufactures two types of dolls‚ a basic version doll- A and a deluxe version doll-B. Each doll of type B takes twice as long to produce as one of type A‚ and the company would have time to make maximum of 1000 per day. The supply of plastic is sufficient to produce 1000 dolls per day (both A & B combined). The deluxe version requires
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Linear Programming Model Formulation Graphical Solution Method Linear Programming Model Simplex method Solution Solving Linear Programming Problems with Excel Dr A Lung Student exercises Kingston University London 1 Linear Programming (LP) • A model consisting of linear relationships representing a firm’s objective and resource constraints • LP is a mathematical modeling technique used to determine a level of operational activity in order to achieve an objective‚ subject to
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levels to meet fluctuating demand requirements over a planning horizon that ranges from six months to one year. Typically the planning horizon incorporate the next seasonal peak in demand. The planning horizon is often divided into periods. For example‚ a one year planning horizon may be composed of six one-month periods plus two three-month periods. Normally‚ the physical resources of the firm are assumed to be fixed during the planning horizon of interest and the planning effort is oriented toward
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(a) What is linear programming problem? Ans: Linear programming (LP‚ or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships. Linear programming is a specific case of mathematical programming (mathematical optimization). More formally‚ linear programming is a technique for the optimization of a linear objective function
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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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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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