Posted by **Liz** on Sunday, November 9, 2008 at 5:43pm.

A power station and a factory are on opposite sides of a river 50 feet wide. A power line must be run from the station to the factory. It costs 25 dollars per foot to run the cable in the river and $15 per foot on land. Express the total cost as a function of x, where x represents the distance downstream from the power station to the point where the cable touches land.

- calculus -
**bobpursley**, Sunday, November 9, 2008 at 6:46pm
assume the line goes on the same side L, the n crosses.

cost=15L+25sqrt(50^2+(L-x)^2 )

Where L is the distance downstream to the factory.

So what is dcost/dx ?

check my thinking.

- calculus -
**THEsTudent**, Thursday, October 14, 2010 at 7:54pm
i have a similar question but instead of 50 its 60 aqnd 15 is 20

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