25. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. How should the wire be cut so that the total area enclosed is a minimum? 26. A cylindrical can has volume 355 cc. (cm3). If the bottom and sides cost 2cents / cm while the top costs 3cents/cm2, what dimensions minimize cost? 27. Maximize the volume of a can made using 80 square inches of material. 28. Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 12 - x2 29. A 10 ft tall fence runs parallel to the wall of a house at a distance of 4 ft. Find the length of the shortest ladder that extends from the ground, over the fence, to the house. Assume the vertical wall of the house and the horizontal ground extend as far as necessary. 30. A cone is constructed by cutting a sector from a circular sheet of metal with radius 20 in. The cut sheet is then folded up and welded. Find the radius of the cone with maximum volume that can be formed that way