A telephone company has to run a line from point A on one side of a river to another point B that is on the other side, 5km down from the point opposite A. The river is uniformly 12 km wide. The company can run the line along the shoreline to a point C and then under the river to B. The cost of the line along the shore is $1000 per km and the cost under the river is twice as much. Where should point C be to minimize the cost?
Heres the recreated diagram that came qith question : http://smg.photobucket.com/albums/v28/pokemon123/?action=view¤t=opimzation.gif
The Attempt at a Solution