Dumbells produces the cans by cutting out circles and rectangles from a large sheet of tin. The "wasted tin" between circles and rectangles that they cut out is thrown away. The company can order sheets of arbitrary length, but they are always 6 feet wide.
The operations manager just received an order for 100 cans. He should order the shortest length sheet of tin he can, because he is tasked with minimizing the wasted tin.
What length should the manager order?