James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The front and back will not be covered. What should be the dimensions of the bookshelf to maximize the volume and use all of the 6-ft board?

Answer 1

how wide will the shelves be? If they are 12" wide, he has 12' of board to use. If they are 8" wide, he has 18 ft of board to use.

There will be 2 pieces for the sides, and 4 pieces for top, bottom, and two shelves.