Suppose you want to cut 15 identical boards of length 6 feet. The procedure is to measure and cut the first board, then use the first board to measure and cut the second board, then use the second board to measure and cut the third board, and so on.
What are the possible lengths of the 15th board if, each time you cut a board, there is a maximum error of ± 1/3 inch?
The board could be as short as ____ inches or as long as ____ inches. (Simplify your answer. Type integers or decimals rounded to the nearest hundredth as needed).