Solve the following problems. Use the SDT to determine whether the value is a maximum or a minimum. You may use the FDT if only if SDT fails. Make sure to show your solutions. 1. Find two numbers whose sum is 28 and whose product is as large as possible. 2. Find the dimensions of a rectangle with an area of 225 square cmIr whose perimeter is as small as possible. 3. From a piece of cardboard that is 24cm by 48cm, cut equal squares out of the corners. Fold up the sides to form an open box. Find the dimensions of the box that will give the maximum volume. Find the maximum volume