Reviewer for MANSCIE 1. Introduction to Quantitative Analysis Approach Quantitative Analysis involves the use of mathematical equations or relationships in analyzing a particular problem. Steps in Quantitative Analysis Approach 1. Define the problem 2. Develop a model 3. Acquire input data 4. Develop a solution 5. Test the solution 6. Analyze the results 7. Implement the results 2. Decision Theory Six steps in decision making 1. Define the problem 2. List possible alternatives 3. Identify possible
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Chapter 9 Learning Objectives After completing this chapter‚ students will be able to: 1. Convert LP constraints to equalities with slack‚ surplus‚ and artificial variables 2. Set up and solve LP problems with simplex tableaus 3. Interpret the meaning of every number in a simplex tableau 4. Recognize special cases such as infeasibility‚ unboundedness‚ and degeneracy 5. Use the simplex tables to conduct sensitivity analysis 6. Construct the dual problem from the primal problem © 2009 Prentice-Hall
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SENSITIVITY ANALYSIS The solution obtained by simplex or graphical method of LP is based on deterministic assumptions i.e. we assume complete certainty in the data and the relationships of a problem namely prices are fixed‚ resources known‚ time needed to produce a unit exactly etc. However in the real world‚ conditions are seldom static i.e. they are dynamic. How can such discrepancy be handled? For example if a firm realizes that profit per unit is not Rs 5 as estimated but instead closer
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Z00_REND1011_11_SE_MOD7 PP2.QXD 2/21/11 12:39 PM Page 1 7 MODULE Linear Programming: The Simplex Method LEARNING OBJECTIVES After completing this chapter‚ students will be able to: 1. Convert LP constraints to equalities with slack‚ surplus‚ and artificial variables. 2. Set up and solve LP problems with simplex tableaus. 3. Interpret the meaning of every number in a simplex tableau. 4. Recognize special cases such as infeasibility‚ unboundedness and degeneracy. 5
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REVISED M09_REND6289_10_IM_C09.QXD 5/12/08 12:01 PM Page 115 9 C H A P T E R Linear Programming: The Simplex Method TEACHING SUGGESTIONS Teaching Suggestion 9.1: Meaning of Slack Variables. Slack variables have an important physical interpretation and represent a valuable commodity‚ such as unused labor‚ machine time‚ money‚ space‚ and so forth. Teaching Suggestion 9.2: Initial Solutions to LP Problems. Explain that all initial solutions begin with X1 ϭ 0‚ X2 ϭ 0 (that
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CapStone Checkpoint Charles Stanford Jr. CJS/250 3/7/2013 Michael Frederick It is important for security professional to know specifics about the particular target environment to which they are assigned because of the safety of the people and the staff within the specific environment. When security professional know things such as the names of streets‚ and the entrance and exits within the environment; they can have security plan in place for the different areas within
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Critical and Creative Thinking (Required as last course) 3 credits AACJ 013 (Tracks A & B) Criminal Justice Concentration *CJS 200 Foundations of the Criminal Justice System 3 credits *CJS 210 Fundamentals of Policing 3 credits *CJS 220 Introduction to Criminal Court System 3 credits *CJS 230 Introduction to Corrections 3 credits *CJS 240 Introduction to Juvenile Justice 3 credits *CJS 250 Introduction to Security 3 credits Subtotal 18 credits General Education Requirements: Communication Arts [Must include
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Tiffany Robinson CJS/240 September 20‚ 2012 Delinquency Deterrence Response Farrell Binder The threat of punishment does not deter juvenile delinquency. According to Wadsworth‚ children are punished less severely than adults‚ limiting the power of the law to deter juvenile crime (Wadsworth‚ 2005). According to the Choice Theory‚ “Choice Theory holds that youths will engage in delinquent and criminal behavior after weighing the consequences and benefits of their actions.” Some experts believe
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Sensitivity analysis‚ cj and qi Sensitivity analysis with duality Sensitivity analysis with duality Sensitivity analysis with duality 253 PROBLEM SOLUTIONS 1. a) x1 = 10‚ x2 = 40‚ s3 = 30‚ z = 420 b) Yes; all cj – zj row values are zero or negative. c) x3 = 0; s2 = 0 d) Maximize Z = 10x1 + 2x2 + 6x3 e) 3Á f) Since there are three decision variables‚ a three-dimensional graph is required. a) minimization; because zj – cj is being calculated on the bottom row and not cj – zj b) x1 = 20‚ x3 =
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policyholders. The expected yearly claim per policyholder is $240 with a standard deviation of $800. Approximate the probability that the total yearly claim exceeds $2.7 million. Solution: Let Cj denote the annual claim made by the j th policyholder in dollars. We are given that E[Cj ] = 240 and V ar(Cj ) = (800)2 for each j = 1‚ 2‚ ...‚ 10000‚ (since the annual claims made by the policyholder are identical copies of each other). Let T = Cj ‚ which represents the total claim amount from all 10‚000 policyholders
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