A machine can produce either nuts or bolts but not both at the same time. the machine can be used at most eight hours per day. furthermore at most six hours a day can be used for making nuts and at most five hours a day can be used for making bolts. there is a two dollar profit for each hour the machine makes nuts and a three dollar profit for every hour the machine makes bolts. how many hours a day should be spent on making each item in order to maximize profit? What is the maximum profit?