A manager of an ice cream store has three employees working at any one time. Employee #1 can make 5 ice cream cones, 1 shake, and 2 sundaes in five minutes. Employee #2 can make 3 ice cream cones, 3 shakes, and 1 sundae in five minutes. Employee #3 can make 7 ice cream cones, 1 shake, and 1 sundae in five minutes.
To avoid boredom, employees are assigned all three tasks at different times during the shift. Each employee has to work at least half an hour at each station during a five hour shift. How much time should each employee spend at each in order to maximize productivity?