1. An open box is to be made from a square piece of cardboard whose sides are 17 in long, by cutting squares of equal sizes from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be maximum?
2. Jonny is designing a rectangular poster to contain 25in^2 of printing with a 4-in margin at the top and bottom and a 4-in margin at each side. what overall dimensions will minimize the amount of paper used?