Case Problem 3: Hart Venture Capital 1. Let S = fraction of the Security Systems project funded by HVC M = fraction of the Market Analysis project funded by HVC Max 1‚800‚000S + 1‚600‚000M s.t. 600‚000S + 500‚000M ≤ 800‚000 Year 1 600‚000S + 350‚000M ≤ 700‚000 Year 2 250‚000S + 400‚000M ≤ 500‚000 Year 3 S
Premium Optimization Security Linear programming
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
Premium Optimization Linear programming
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
Premium Operations research Mathematics Statistics
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
Premium Wind power Linear programming Optimization
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
Premium Optimization BMW Linear programming
College of Management‚ NCTU Operation Research I Fall‚ 2008 Chap8 The Transportation and Assignment Problems Example: Three canneries and four warehouse Shipping Cost per Truckload Output Warehouse 1 2 3 4 464 513 654 867 75 1 Cannery 352 416 690 791 125 2 995 682 388 685 100 3 80 65 70 85 Allocation xij = the number of truckloads to be shipped from cannery i to warehouse j. The Transportation Problem Distribute goods from sources to destinations with
Premium Optimization Operations research Assignment problem
Strategy: Synergy and Serendipity 1. The root of the word ”decide” is to “cut off” In our old Chinese says‚ “She De”‚ which means you can achieve after you gave up. To choose which to give up‚ which to pursue‚ it needs wisdom. 2. People often have trouble abandoning their previous behavior It’s so called - comfort zoom. Before I quit my job‚ came to Chicago for the MBA program‚ some of my colleagues doubted the benefits from this program may not cover my loss. I don’t really care about it‚ all
Premium English-language films Europe World
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
Premium Iron Steel Pig iron
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:
Premium UCI race classifications Management Scientific method
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
Premium Inflation Macroeconomics Keynesian economics