Suppose you want to cut 15 identical boards of length 7 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. Answer
parts a and b. a. What are the possible lengths of the 15th board
if, each time you cut a board, there is a maximum error of +-1/4
inch? The board could be as short as nothing inches or as long as
nothing inches.