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September 23, 2014

September 23, 2014

Posted by **Jd Gonzales** on Friday, November 16, 2012 at 6:56pm.

- math -
**Steve**, Friday, November 16, 2012 at 8:11pmDraw a diagram, where

R is the resort

P is the named point on shore

W is the water well

L is the point on land where the pipe comes ashore

RPL is a right triangle, where

RP=4

PL = x

PW=10, so LW=10-x

without loss of generality, we may assume the land cost is 1, so the total cost is

c = 1.5√(16+x^2) + (10-x)

dc/dx = 1.5x/√(16+x^2) - 1

dc/dx = 0 when x = 8/√5 = 3.58

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