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handout02 - drug 2 must be at least 60 chemical 2 Up to 40...

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IEOR 162 Linear Programming Spring 2007 Discussion Section Handout 2 Find all basic solutions, basic feasible solutions, and degenerate solutions to the following polyhedrons: 1. P = { x 2 : Ax b, x 0 } where A = 1 2 2 1 1 1 , b = 3 3 2 . 2. P = { x 3 : Ax b, x 0 } where A = 0 1 1 1 0 1 , b = 1 1 . Modeling question: 3. Eli Daisy uses chemicals 1 and 2 to produce two drugs. Drug 1 must be at least 70% chemical 1, and
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Unformatted text preview: drug 2 must be at least 60% chemical 2. Up to 40 oz of drug 1 can be sold at $6 per oz; up to 30 oz of drug 2 can be sold at $5 per oz. Up to 45 oz of chemical 1 can be purchased at $6 per oz, and up to 40 oz of chemical 2 can be purchased at $4 per oz. Formulate an LP that can be used to maximize Daisy’s profits. 1...
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