14. A power company needs to lay a cable from point A on one bank of an 800-foot wide straight river to point B on the opposite bank 1600 feet downstream. The power company will choose a point C on the same side of the river as B, and will lay a cable underwater from A to C and on land from C to B. It costs $3 a foot to lay the cable on land and $5 a foot to lay it underwater. Where the point C should to be chosen to minimize the total cost and what is the minimum cost? You may use C B 800 feet X A 1600 feet