Problem: A garden store prepares various grades of pine bark for mulch: nuggets, mini nuggets, and chips. The following table gives information regarding the different requirements.
Nuggets Mini-Nuggets Chips
Bark 5 6 3
Machine time (minutes) 2 4 5
Labor time (hours) 2 4 3
Storage (bags) 1 1 1
In addition, there are only 600 pounds of pine bark, 600 minutes of machine time, 480 hours of labor time, and 150 bags in storage. The profits are $9, $9, and $6, respectively for every bag of nuggets, mini-nuggets, or chips.