16. A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular Norman window is to be 32 ft. What should its dimensions be in order to allow the maximum amount of light to enter through the window? X To allow the maximum amount of light to enter through the window, the radius of the semicircle should be (1) and the height of the rectangle should be (2). (Do not round until the final answer. Then round to two decimal places as needed.) (1) Ofta (2) Oft. Oft2 Oft 2 Oft Oft 3 17. A power line is to be constructed from a power station at point A to an island at point C, which is 5 mi directly out in the water from a point B on the shore. Point B is 6 mi downshore from the power station at A. It costs $4500 per mile to lay the power line under water and $3000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be B or A. (Hint: The length of CS is (25+ x2 . ) X 6-x S is miles from A. (Round to two decimal places as needed.) 18. Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 13 mi directly out in the water from a point B on shore. Point B is 28 mi downshore from the pigeon's home loft at point A Assume that a pigeon flying over water uses energy at a rate 1.35 times the rate over land. Toward what point $ downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? X 28-X 28 Total energy = (Energy rate over water) . (Distance over water) + (Energy rate over land) . (Distance over land) Point S is miles away from point A. (Type an integer or decimal rounded to three decimal places as needed.)