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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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The Scope of the Defence and other Powers: Thomas v Mowbray 1 1. Introduction (i) There is nothing new about terrorism‚ as avid readers of the reports of the Cabinet Papers for 1977 will recall: • when they were reminded of the terrorist threat posed by the Indian Ananda Marga Sect and the bombing of the Hilton Hotel the bombing occurred during the meeting of Commonwealth Heads of State in 1978 and resulted in the deaths of three people; • three sect members were convicted of offences arising out
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CJ – He understands that a generational gap is dividing the company‚ making it difficult for Armor Coat to meet customer and investor expectations
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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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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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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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ACCT90015 Legal Issues for Accountants Week 4 This Week Page Title / heading goes here Topics • What is a contract • Formation of a contract • Equitable estoppel Contract Page Title / heading goes here Meaning • An agreement that the law recognises as a contract Formation of a Contract Page Title / heading goes here Requirements • Offer • Acceptance • Consideration • Certainty of terms • Intention to create legal relations • Formalities Offer Page Title /
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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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