Problem: A machine can produce either nuts or bolts, but not both at the same time. The machine can
be used at most 8 hours a day. The machine can be used for making nuts a maximum of 6 hours per
day. The machine can be used for making bolts a maximum of 5 hours per day. There is a $2 profit for
each hour the machine makes nuts and a $3 profit for each hour the machine makes bolts. How many
hours per day should the machine make each item in order to maximize profits? What is the maximum
profit?