Superbats inc. manufactures two different types of wood baseball bats, the Homer-Hitter and the Big Timber. The Homer-Hitter takes 8 hours to trim and turn on the lathe and 2 hours to finish. Each Homer-Hitter sold makes a profit of $17. The Big Timber takes 5 hours to trim and turn on the lathe and 5 hours to finish, and it's profit is $29. The total time available for trimming and lathing is 80 hours. The total available time for finishing is 50 hours. What is the maximum profit?