*Posted on on February 3, 2014*

In the last three weeks, we discussed a couple of strategies we can use to solve max-min questions: ‘Establishing Base Case’ and ‘Focus on Extremes’. Now try to use those to solve this question:

Question: A carpenter has to build 71 wooden boxes in one week. He can build as many per day as he wants but he has decided that the number of boxes he builds on any one day should be within 4 off the number he builds on any other day.

(A) What is the least number of boxes that he could have build on Saturday?

(B) What is the greatest number of boxes that he could have build on Saturday?