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Hi, I am having a hard time with this Optimization question as i do not know where to begin, I drew a diagram but what formulas, function etc do I use to start the question? And How do i do it?

Here is the Diagram i drew:

http://img109.imageshack.us/img109/7071/diagramv.png [Broken]

How would I start going about doing this problem?

**Two towns A and B are 7km and 5km, respectively, from a railroad line. The points C and D nearest to A and B on the line are 8 km apart. Where should the station be located to minimize the length of a new road from A to S to B?**Here is the Diagram i drew:

http://img109.imageshack.us/img109/7071/diagramv.png [Broken]

How would I start going about doing this problem?

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