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Hw9_Sol

# Hw9_Sol - parameters each indexed by the number of products...

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Math464 - HW 9 Due on Thursday, Apr 1 1 Linear Optimization (Spring 2010) Brief solutions to Homework 9 1. See course web page for model, data, and output files. Notice how the data given in the table in BT-ILO for this problem is broken down in to data (param) matrices in the model and data files here. 2. See course web page for model, data, and output files. We have both the original LP and the modified LP in the same model. We set h = 0 to get the original LP. This constraint is then dropped to solve the modification involving overtime. Also, notice how four different vector
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Unformatted text preview: parameters, each indexed by the number of products, are set in one go in the data ﬁle 3. See course web page for model, data, and output ﬁles. 4. See course web page for model and output ﬁles. One could also write the model for a general form LP min { c T x | A x = b , x ≥ } . 5. The dual LP is given below. max 0 p 1 + 3 p 2 + 6 p 3 s.t. 2 p 1 + 3 p 2-p 3 ≥ 1 3 p 1 + p 2-p 3 ≤ -1-p 1 + 4 p 2 + 2 p 3 ≤ p 1-2 p 2 + p 3 = 0 p 1 ≤ , p 2 ≥...
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