[pic] |Quantitative Methods – MAT 540 | |Student Course Guide | |Prerequisite: MAT 300 | |INSTRUCTIONAL MATERIAL – Required
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DECISION MODELING DECISION WITH WITH MICROSOFT EXCEL MICROSOFT Linear Optimization Linear Optimization A constrained optimization model takes the form of a constrained performance measure to be optimized over a range of feasible values of the decision variables. The feasible values of the decision variables are determined by a set of inequality constraints. constraints Values of the decision variables must be chosen such that the inequality constraints are all satisfied while
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Linear Programming Problems Introduction Linear Programming is one of the most important OR tools in business. It application is universal and helps to save huge amount of money for number of companies. Linear Programming is a deterministic and mathematical programming model. Assumptions of Linear Programming 1) Proportionality: It is assumed that the objective function and constraints increase or decrease proportionally according to the value of decision variables or to the level of
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rejection of the different projects. TRUE/FALSE 4. If a maximization linear programming problem consist of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ______ result in a(n) _____ solution to the integer linear programming problem. A) always, optimal B) always, non-optimal C) never, non-optimal
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Linear Programming CHAPTER 6 SUPPLEMENT: Linear Programming Linear Programming is a problem solving approach that has been developed to help managers to make decisions. The following situations describe some typical applications of Linear programming: 1. Selecting a product mix in a factory to make a best use of machine- and labour-hours available while maximizing the firm’s profit. Slides prepared by Romulus Cismaru University of Regina Copyright © 2006 McGraw-Hill Ryerson Limited
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will use to purchase and prepare the food for the first game. For the remaining home games she plans on using funds generated from the previous game to purchase her ingredients. In order to help Julia determine if she should lease a booth a linear programming model should be formulated and solved. The first step in setting up the model is to determine the variables. The variables for this case include: x1 =Pizza, x2 = Hotdogs, and x3= BBQ sandwiches. These variables are the three food choices Julia
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Supplement E • Linear Programming Supplement E TRUE/FALSE 1. Linear Programming Linear programming is useful for allocating scarce resources among competing demands. Answer: True Reference: Introduction Difficulty: Easy Keywords: linear programming, scarce resources, competing demands A constraint is a limitation that restricts the permissible choices. Answer: True Reference: Basic Concepts Difficulty: Moderate Keywords: constraint, limit Decision variables are represented in both the
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Chapter 5 Modeling with Linear Programming 5.1 Introductory Example SilComputers makes quarterly decisions about their product mix. While their full product line includes hundreds of products, we will consider a simpler problem with just two products: notebook computers and desktop computers. SilComputers would like to know how many of each product to produce in order to maximize pro t for the quarter. There are a number of limits on what SilComputers can produce. The major constraints are as follows:
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0.1 0.1.1 Linear Programming Objectives By the end of this unit you will be able to: • formulate simple linear programming problems in terms of an objective function to be maximized or minimized subject to a set of constraints. • find feasible solutions for maximization and minimization linear programming problems using the graphical method of solution. • solve maximization linear programming problems using the simplex method. • construct the Dual of a linear programming problem. • solve minimization
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Research Journal of Management Sciences ____________________________________________ ISSN 2319–1171 Vol. 2(5), 20-23, May (2013) Res. J. Management Sci. Modeling a Small Farm Livelihood System using Linear Programming in Bindura, Zimbabwe Majeke Felix, Majeke Judith, Mufandaedza Jonathan and Shoko Munashe Department, Great Zimbabwe University, Masvingo, ZIMBABWE Available online at: www.isca.in Received 30th January 2013, revised 15th February 2013, accepted 30th April 2013 Abstract
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