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Let a and BE R. Consider the linear optimization model: min s.t. x1 + x2 αX1 + βα2 > 1 x1 ≥ 0,₂ € R. Write the linear programming dual of (Pa,ß). Call it (Da‚ß). (Pa‚ß)

Let a and BE R. Consider the linear optimization model: min s.t. x1 + x2 αX1 + βα2 > 1 x1 ≥ 0,₂ € R. Write the linear programming dual of (Pa,ß). Call it (Da‚ß). (Pa‚ß)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.7: Function Notation
Problem 2E
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Let a and B E R. Consider the linear optimization model: (Pa,8) min s.t. X1 + x₂ αX1 + βα2 >1 x1 ≥ 0, x₂ € R. Write the linear programming dual of (Pa,ß). Call it (Da‚ß). α,β
Transcribed Image Text:Let a and B E R. Consider the linear optimization model: (Pa,8) min s.t. X1 + x₂ αX1 + βα2 >1 x1 ≥ 0, x₂ € R. Write the linear programming dual of (Pa,ß). Call it (Da‚ß). α,β
determine all values of a and ß for which (Da‚ß) is infeasible. What does that mean about (Pa‚ß)? (Da‚ß) is feasible, but not unbounded. What does that mean about (Pa,ß)? (Da‚ß) is unbounded. What does that mean about (Pa,p)? (Pa,ß) has multiple optimal solutions. (You reasoning should use complementarity slackness relation- ships between primal and dual optimal solutions.)
Transcribed Image Text:determine all values of a and ß for which (Da‚ß) is infeasible. What does that mean about (Pa‚ß)? (Da‚ß) is feasible, but not unbounded. What does that mean about (Pa,ß)? (Da‚ß) is unbounded. What does that mean about (Pa,p)? (Pa,ß) has multiple optimal solutions. (You reasoning should use complementarity slackness relation- ships between primal and dual optimal solutions.)
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