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CHAPTER IV: DUALITY IN LINEAR PROGRAMMING

McCarl and Spreen, 2020 DUALITY IN LINEAR PROGRAMMING 1 CHAPTER IV: DUALITY IN LINEAR PROGRAMMING Basic DUALITY .. 1 Primal-Dual Solution Inter-Relationships .. 3 Objective Function Interrelationships .. 3 Constructing Dual Solutions .. 4 Complementary Slackness .. 5 Zero Profits .. 6 Finding the Dual Solution Information .. 6 DUALITY Under Other Model Forms .. 6 The Character of Dual Solutions .. 9 Degeneracy and Shadow Prices .. 10 Primal Columns are Dual Constraints .. 11 References .. 11 Economic theory indicates that scarce (limited) resources have value.

4.1 Basic Duality The study of duality is very important in LP. Knowledge of duality allows one to develop increased insight into LP solution interpretation. Also, when solving the dual of any problem, one simultaneously solves the primal. Thus, …

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