A telephone company wants to run a cable from a point A on one
bank of a river to a point B on the
opposite bank and 12 km down stream from point A. The river is 5 km
wide. The company can run the
cable along the shore at a cost of $1 000 per km and across the
river at a cost of $2 000 per km. What
lengths of cable should be run along the shore and under the water
to minimize the cost of the cable?

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