Problem 6
A company has 4 employees that can perform a certain task. We know that one of the employees can do this task in 3 hours,
another in 4 hours, a third in 5 hours, and finally the last one in 6 hours.
Given that each employee must perform 2 jobs while working in a group of 2 people and that no
group can be repeated, how should the company assign the groups so that it takes the shortest amount of time to complete all of the jobs. The longest?
Students, email your solutions to
atew@mail.unomaha.edu. Solutions are due by 11:59PM on Friday October 16th, 2009. Along with your solution, include your name, your school's name, the name of your math teacher or math club moderator, and your year in school.
