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Assignment 3

# Assignment 3 - 4 max 1.5x 1 2.5x 2 s.t 4x 1 – 2x 2 ≤ 1...

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MIE376S – Mathematical Programming - Assignment 3 Due: Jan 27, 2011 at the Beginning of Tutorial (2:10pm) For any questions regarding the assignment, email Nick at [email protected] Formulation Only: Write down the linear programming formulations for the following problems: 1. Chapter 3 Review #50 2. Chapter 3.11 #8 Formulate and Solve in AMPL: Separate the model and data into .mod and .dat files. Print and submit code and solutions to the problem. 3. Chapter 3 Review #54 Revised Simplex Method: Solve the following question using the revised simplex method:
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Unformatted text preview: 4. max 1.5x 1 + 2.5x 2 s.t. 4x 1 – 2x 2 ≤ 1 x 1 + 5x 2 ≤ 4 x 1 , x 2 ≥ 0 Revised Simplex Method + AMPL: Solve the following question using the revised simplex method. Verify your solution by programming it into AMPL (separate into .dat and .mod files): 5. min ܿ ் ݔ, ݏ. ݐ. ܣݔ ൑ ܾ, ݔ ൒ 0 ܣ ൌ ൥ 1 െ1 1 1 1 2 െ 1 ൩ , ܾ ൌ ൥ 4 6 5 ൩ , ܿ ൌ ൥ 3 1 െ3 ൩ , ݔ ൌ ൥ ݔ ଵ ݔ ଶ ݔ ଷ ൩...
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