W 5 km -x 8-x- -8 km

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Figure  4.5.5  shows  an  offshore  oil  well  located  at  a point  W  that  is  5 km  from  the  closest  point  A  on  a  straight shoreline.  Oil is to be piped from W  to a shore point B  that is 8 km from A by piping it on a straight line under water from W  to some shore point P  between A and B  and then on to B  via pipe along the shoreline.  If the cost of laying pipe is $1,000,000/km under water and $500,000/km over land, where should the point P  be located to minimize the cost of laying the pipe ?

 

5 km
B
- x-
8-x-
8 km
A Figure 4.5.5
Transcribed Image Text:5 km B - x- 8-x- 8 km A Figure 4.5.5
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