Solution to Homework #3 4. a. Y 10 8 6 Optimal Solution X = 2.5‚ Y = 2.5 4 8 (2 2 .5) +1 2 (2 2 .5) =5 0 4 X 6 8 10 b. The value of the optimal solution to the revised problem is 8(2.5) + 12(2.5) = 50. Compared to the original problem‚ the value of the optimal solution has increased by 50 48 = 2. Thus‚ the dual value is 2. c. The right-hand side range for constraint 1 is 5 to 11. As long as the right-hand side stays within this range‚ the dual value of 2 is applicable. Since increasing
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Private Sub ComboBox1_SelectedIndexChanged(sender As Object‚ e As EventArgs) Handles ComboBox1.SelectedIndexChanged Timer1.Start() T = 0 Dim index As Integer = ComboBox1.SelectedIndex For x As Integer = 0 To 8 For y As Integer = 0 To 8 SudukuCubes(x‚ y).Text = "" SudukuCubes(x‚ y).ReadOnly = False Next Next Select Case index Case Is = 0 ’Easy Puzzle level
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OPower Answer the following questions that are based on the article reading below. Keep your responses to 1-2 paragraphs (150-300 words) per question. Posts must be clear and concise‚ and must address the questions being asked. You must also respond to at least one of yourpeers Discussion Questions: Even though Laskey and Yates are of the opinion that OPOWER has been extremely successful in the years since its inception‚ they also believe that the behavioral science-based approach could produce
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Test Bank for Chapter 4 Problem 4-1: Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3‚ subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1 + x3 ≤ 8 and x1 ≥ 0‚ x2 ≥ 0‚ x3 ≥ 0. Solution for Problem 4-1: We introduce x4‚ x5‚ and x6 as slack variables for the respective functional constraints. The augmented form of the problem then is Maximize Z = x1 + 2 x2 + 2 x3‚ subject to
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equivalent to 0.7749 Euros. A linear equation of a function‚ E‚ which converts US dollars (D) to Euros (E) would be E = 0.7749D You would just put the number of dollars in for "D" and multiply by 0.7749 and this will give you the number of Euros you would get for your US dollars. This is a "real world application" of a linear function. Cell Phones Just about everyone has a cell phone‚ and most rate plans are a linear function of some kind. Let’s take a look at a basic example that is a real-life application
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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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Management Science‚ 10e (Taylor) Chapter 5 Integer Programming 1) The 3 types of integer programming models are total‚ 0 - 1‚ and mixed. Answer: TRUE Diff: 1 Page Ref: 182 Main Heading: Integer Programming Models Key words: integer programming models 2) In a total integer model‚ all decision variables have integer solution values. Answer: TRUE Diff: 1 Page Ref: 182 Main Heading: Integer Programming Models Key words: integer programming models 3) In a 0 - 1 integer model‚ the solution
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A LINEAR PROGRAMMING MODEL OF INTEGRATED IRON AND STEEL PRODUCTION *t TmOR FABIAN University of California‚ Los Angeles Integrated steel mills usually have a choice over the use of various materials and production procMses. Different ores may be used in the proiduction of iron; steel scrap and iron can be used in different proportions in the production of steel. The economical usage rate of all materials is a fimction of numerous variables‚ among which the market price of some materials‚ notably
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Operational Research (OR) DR. SUPRIYA KUMAR DE ASSIGNMENT XLRI-PGCBM-18 NAME: GH. RASOOL WANI SMS ID: 2217429 Table of Contents 1. Problem: 1 2. Solution: 2 2.1 Manual Approach 2 2.2 Linear programming approach 2 2.2.1 Decision Variables: 3 2.2.2 Objective Function: 3 2.2.3 Constraints: 3 2.3 Excel Solution. 6 2.3.1 Excel Solution Embedded: 6 3. Analysis: 6 3.1 Sensitivity Analysis: Objective Function 6 3.2 Sensitivity Analysis:
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EMPLOYMENT IN ORGAINSED AND UNORGANISED SECTOR Introduction Employment is another indicator of the health of the economy. Employment is directly related with the national income because a higher employment will be followed by a higher output and thereby income. Not only that‚ a higher level of employment encourages advancement in education‚ skill formation‚ human resource development and a better physical quality of life. Hence‚ study of employment helps us to estimate the real status of the
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