Loretta is responsible for cutting the small lengths of wood needed for a particular project from long
boards. To reduce waste, Loretta must carefully choose the long board that will result in the least
amount remaining after she makes the required cuts. The long boards come in lengths of 6, 7, 9, and
2
10 feet. Loretta's boss asks her to cut at least 5 pieces of wood that are --foot long and some that
3
5
are -foot long. He says that she should be able to complete the task with only one long board and
7
no waste. Which length of board should she choose? How many pieces of each length will she be
able to cut from the board? (Assume that the width of the saw cut is insignificant.)
