MA2030 589 UNIVERSITY OF MORA TUW A Faculty of Engineering Department of Mathematics B. Sc. Engineering Level 2 - Semester 2 Examination: MA 2030 LINEAR ALGEBRA Time Allowed: 2 hours 2010 September 2010 ADDITIONAL MATERIAL: None INSTRUCTIONS TO CANDIDATES: This paper contains 6 questions and 5 pages. Answer FIVE questions and NO MORE. This is a closed book examination. Only the calculators approved and labeled by the Faculty of Engineering are permitted. This examination
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can describe the relationship between x and y using a simple linear regression model of the form µy = β 0 + β1 x 1000 900 Sale Price (in Thousands of Dollars) 800 700 600 500 400 300 200 100 0 0 100 200 300 400 500 600 700 800 900 1000 Appraised Value (in Thousands of Dollars) response variable y : sale price explanatory variable x: appraised value relationship between x and y : linear strong positive We can estimate the simple linear regression model using Least Squares (LS) yielding the following
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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 and ghee. The company uses 3000000 liters of milk monthly for producing milk made goods. From 3000000 liters of milk company uses 25% of milk for producing cream and skim milk‚ 25% for producing Full Cream milk‚ 25% for producing butter and 25% for ghee. According to company policies‚ company produces only 500 gram
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Linear programming is a technique which shows practical problems as a series of mathematical equations which can be manipulated to find the optimum or best solution. Blending is a graphical approach to linear programming which deals with resource allocation subject to constraints. It is a model which assists firms in deciding the best possible utilisation of limited resources. Each resource constraint is represented as a mathematical linear equation. A linear expression is an equation which links
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to the chronology of the plot‚ the point in time at which the black-and-white segments end is the point in time at which the color segments begin. Nolan uses a non-linear structure to tell a story in non-chronological order. The way Memento was edited is what makes this film different from other films. Because the film has a non-linear structure it is told backwards with scenes jumping back in fifteen-minute increments of story time. This happens until the end of the film meets the beginning of the
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Curve-Fitting Project – Linear Model: Average Sales Prices of new homes sold in the United States between 1964 and 2008 (LR-1) Purpose: To analyze the average sales prices of new homes sold in the United States from 1964 to 2008. Data: The prices were retrieved from http://www.census.gov/const/uspriceann.pdf. I chose to use the prices between 1964 and 2008 as they showed a huge increase (More data was available (see link)). Average sales prices of new homes sold in the US Year Time (seconds)
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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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introduced the class to linear perspective. Its definition is as follows; linear perspective is a type of perspective used by artists in which the relative size‚ shape‚ and position of objects are determined by drawn or imagined lines converging at a point on the
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3 Introduction to Linear Programming The development of linear programming has been ranked among the most important scientific advances of the mid-20th century‚ and we must agree with this assessment. Its impact since just 1950 has been extraordinary. Today it is a standard tool that has saved many thousands or millions of dollars for most companies or businesses of even moderate size in the various industrialized countries of the world; and its use in other sectors of society has been spreading
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prepare you for the Final Exam in Week 5. Points will be awarded for completion of the project. Study Table for Weeks One and Two Chapter 4 Systems of Linear Equations; Matrices (Section 4-1 to 4-6) | Examples | Reference (Where is it in the text?) | | | | DEFINITION: Systems of Two Linear Equations in Two VariablesGiven the linear system ax + by = hcx + dy = kwhere a ‚ b ‚ c ‚ d ‚ h ‚ and k are real constants‚ a pair of numbers x = x0 and y = y0 [also written as an ordered pair
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