a.A small resort is situated on an island that lies exactly 5 miles fromP, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline fromPis the closest source of fresh water. If it costs 1.6 times as much money to lay pipe in the water as it does on land, how far down the shoreline fromPshould the pipe from the island reach land in order to minimize the total construction costs? Distance fromP=

b.A rectangle is inscribed with its base on thex-axis and its upper corners on the parabolay=11x2. What are the dimensions of such a rectangle with the greatest possible area?

Width = Height =