Transcription of Operations Research Lecture 1: Linear …
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Operations Research Lecture 1: Linear …
Operations Research Lecture 1: Linear Programming Introduction notes taken by Kaiquan Xu@Business School, Nanjing University 25 Feb 2016. 1 Some Real Problems Some problems we may meet in practice or academy: Production Planning Given a manufacturer plans to produce two types of products: I and II, the required matireials (A & B) and equipment for producting one product are list in Table 1. The profits for Product I and II are 2$ and 3$. The question is: how to make product planning, so the manufacturer can get the maximum profit. Table 1: Example: Product Planning. Product I Product II Available Resources equipment 1 2 8. matireial A 4 0 16. matireial B 0 4 12. Let x1 and x2 be as the numbers of Product I and II to be produced. Under the constraints of the resources, the variables should satisfy the following conditions: x1 + 2x2 8.
Operations Research Lecture 1: Linear Programming–Introduction Notes taken by Kaiquan Xu@Business School, Nanjing University 25 Feb 2016 1 Some Real Problems
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