Lecture2

# Lecture2 - MS&E 211 The project is optional Also you may...

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MS&E 211

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The project is optional. Also, you may choose 3-4 units independently of project choice HOWEVER!—update—4 units w/out project = PAPER Please use FORUM for all non-personal questions. HW1 is available today Ask your neighbor if they want to meet up for study- group Discussion Section starts next week Attend if you can; don’t worry if you have class conflict On Tuesday we will review the Math pre-requisites. MS&E 211
Definition of LP Some more examples of LPs Standard Form Converting to standard form New vocabulary: “extreme point” How to find the extreme points of the feasible region X. MATH REVIEW ON TUESDAY MS&E 211

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MS&E 211 Minimize 𝑐𝑐 1 𝑥𝑥 1 + 𝑐𝑐 2 𝑥𝑥 2 + + 𝑐𝑐 𝑛𝑛 𝑥𝑥 𝑛𝑛 Subject to: 𝑎𝑎 11 𝑥𝑥 1 + 𝑎𝑎 12 𝑥𝑥 2 + + 𝑎𝑎 1 𝑛𝑛 𝑥𝑥 𝑛𝑛 = 𝑏𝑏 1 𝑎𝑎 21 𝑥𝑥 1 + 𝑎𝑎 22 𝑥𝑥 2 + + 𝑎𝑎 2 𝑛𝑛 𝑥𝑥 𝑛𝑛 = 𝑏𝑏 2 𝑎𝑎 𝑟𝑟 1 𝑥𝑥 1 + 𝑎𝑎 𝑟𝑟 2 𝑥𝑥 2 + + 𝑎𝑎 𝑟𝑟𝑛𝑛 𝑥𝑥 𝑛𝑛 = 𝑏𝑏 𝑟𝑟 𝑑𝑑 11 𝑥𝑥 1 + 𝑑𝑑 12 𝑥𝑥 2 + + 𝑑𝑑 1
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