100 A power cable must be laid from a power plant to a new factory located across the river. The river is 50 feet wide and the factory is 200 feet down stream and 100 feet from the bank as shown in the figure on the right. The cable costs $400 per foot to lay underwater, $100 per foot to lay along the bank, and $300 per foot to lay across land. What path should be taken to minimize the cost and what is the minimum cost? 200-(x+y) 50 What path should be taken to minimize the cost? (Type an integer or decimal rounded to four decimal places as needed.)