The ABC bat company makes two types of baseball bats: metal bats and wooden bats. A metal bat takes 2 hours to cut, 1 hour to lathe, and two hours to finish. The wooden bat takes 1 hour to cut, 3 hours to lathe, as well as 2 hours to finish. The pofit on the metal bat is $16 and the profit on wooden bat is $20. The ABC company has 120 hours available for cutting, 150 hours for lathing and 140 hours for finishing. How many of each kind of bat should the Company produce to maximize the profit.