How many shelves 3/4 by 13" by 18" can we cut from a sheet of Oak Plywood 48" by 96"? Show your work

assuming the plywood is 3/4" thick, then we have to worry about which direction the shelves are laid out.

If the 13" width is parallel to the 48" width of the sheet, then discarding the wastage, we get

48/13 x 96/18 = 3.6 x 5.3 or 15 shelves

If laid out the other way, we get

96/13 x 48/18 = 7.2 x 2.6 or 14 shelves