Optimization: Let's build a pipeline!

3:03 PM



1.   
        There are two towns on the same side of the river, and the townspeople wants to have a stable supply of water. 




 
Bob is a builder contracted to build a pumping station for their needs. It is to be located at the river’s edge with pipes extending straight to the two towns. The distances are show in the figure below:
Where should the pumping station be located in order to minimize the total length of pipe?


       Solution:
 



  • From the solution above, there are two answers present. It cannot be -4/3, therefore it is 4/5.


       Answer:
 












Posted by: Lorraine Suarez
 











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2 comments

  1. It's informative, has a clear problem, and has a good appeal but is missing the explanation.

    ReplyDelete
  2. I like the visual aids :)

    ReplyDelete

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