(Balakrishnan/Render/Stair) Chapter 2 Linear Programming Models: Graphical and Computer Methods 2.1 Chapter Questions 1) Consider the following linear programming model: Max X12 + X2 + 3X3 Subject to: X1 + X2 ≤ 3 X1 + X2 ≤ 1 X1‚ X2 ≥ 0 This problem violates which of the following assumptions? A) certainty B) proportionality C) divisibility D) linearity E) integrality Answer: D Page Ref: 22 Topic: Developing a Linear Programming Model Difficulty: Easy 2) Consider the following linear programming model: Min 2X1
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Sensitivity Analysis Source: Introduction to Management Science 10 e‚ Anderson Sweeney Williams Example 1 Max s.t. 5x1 + 7x2 x1 < 6 2x1 + 3x2 < 19 x1 + x2 < 8 x1‚ x2 > 0 x2 8 7 6 5 4 3 2 1 x1 + x2 < 8 Max 5x1 + 7x2 x1 < 6 Optimal: x1 = 5‚ x2 = 3‚ z = 46 2x1 + 3x2 < 19 x1 1 2 3 4 5 6 7 8 9 10 x2 8 7 6 5 4 3 2 1 5 5 Feasible Region 1 1 1 2 3 4 4 4 3 3 2 2 5 6 7 8 9 10 x1 Example 1 • Range of Optimality for c1 The slope of the objective
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Sensitivity Analysis The variables used to develop the table‚ including sales price‚ variable costs‚ unit sales‚ and the unit growth rate‚ are all most likely‚ or base-case‚ values‚ and the resulting $25‚517 NPV shown in Part 5 is called the base-case NPV. Now we ask a series of "what if" questions: "What if unit sales falls 30 percent below the most likely level?" In our sensitivity analysis we hold the other variables at their base case levels and then examine the situation when the key variables
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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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Chapter 2 Linear Programming: Basic Concepts Solution to Solved Problems 2.S1 Back Savers Production Problem Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two different models—the Collegiate and the Mini. Both are made out of the same rip-resistant nylon fabric. Back Savers has a long-term contract with a supplier of the nylon and receives a 5000 square-foot shipment of the material each week. Each Collegiate requires
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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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Assignment #3 BLAW 502 (Summer Class I‚ 2013): The Richard Spellman Case Total word count: 1724 1) Is there any need for Spellman to wade through the draft documents? (224 words) There is definitely the need for Richard Spellman to go through the draft documents. He needs to ensure that the employment deal that he had discussed with Walt Sawyer was in fact what the contract spelled out and that all information that has been exchanged informally‚ has been taken into consideration on the formal
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Patton-Fuller Sensitivity Analysis Carrie "Shellie" Cobbs Health Care Financial Accounting HCS 405 Robert Hammer November 17‚ 2013 Patton-Fuller Sensitivity Analysis Using Trend Analysis for Staffing According to Health Affairs‚ “Several trends in hospital use and staffing patterns have converged to create potentially hazardous conditions for patient safety” (Rogers‚ Hwang‚ Scott‚ Aiken‚ & Dinges‚ 2013‚ p. 1). Addressing the staffing is at Patton-Fuller Community Hospital is the current issue.
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TruEarth Healthy Foods: Market Research for a New Product Introduction TruEarth was founded in 1993 in St. Louis Missouri‚ by Gareth DeRosa‚ a young entrepreneur. The company was one of the first companies to focus on whole grain products. It provides high quality gourmet pastas‚ sauces and meals. In the third quarter of 2006‚ the company had launched a fresh whole grain pasta meal kit sold through supermarkets. It was the most successful product launch in the company history. The company is now
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Introduction 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 The Primary Purpose of the present investigation is to develop an interactive spreadsheet tool to aid in determining a maximum return function in 401K plan. In this paper‚ we discuss how the
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