381Hw5 - HOMEWORK 4 (1) BONUS: Model, program in R , and...

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Unformatted text preview: HOMEWORK 4 (1) BONUS: Model, program in R , and hand in model and solution: Cereal Blending http://www.math.washington.edu/~burke/crs/407/models/m4.html Detergent Production http://www.math.washington.edu/~burke/crs/407/models/m10.html (2) For the following problems in Standard From (from last week’s homework) find the dual problem. You do not need to write it in standard form. (a) maximize 4 x 1 + 3 x 2 + 2 x 3 subject to x 1 + x 3 ≤ 2- x 1- x 2 + x 1 ≤ 1 x 1 + x 2 + x 3 ≤ 3 ≤ x 1 ,x 2 ,x 3 (b) maximize 4 x 1 + 2 x 2 + 2 x 3 subject to x 1 + 3 x 2- 2 x 3 ≤ 3 4 x 1 + 2 x 2 ≤ 4 x 1 + x 2 + x 3 ≤ 2 ≤ x 1 ,x 2 ,x 3 (3) Duality Theory and Sensitivity Analysis SILICON CHIP CORPORATION A Silicon Valley rm specializes in making four types of silicon chips for personal computers. Each chip must go through four stages of processing before completion. First the basic silicon wafers are manufactured, second the wafers are laser etched with a micro circuit, next the circuit is laminated onto the chip, and nally...
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This note was uploaded on 07/22/2010 for the course MATH 11853 taught by Professor Aravkin,aleksandry during the Summer '10 term at University of Washington.

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381Hw5 - HOMEWORK 4 (1) BONUS: Model, program in R , and...

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