A small candy shop makes a special Cupid assortment, with 60 red pieces of candy and 40 white pieces of candy, that makes a profit of $8. A special Patriotic assortment has 30 pieces of red candy, 35 pieces of white candy, and 35 pieces of blue candy and makes a profit of $6. How many of each assortment should the shop produce to maximize profit if there are 2400 pieces of red candy, 1750 pieces of white candy, and 1470 pieces of blue candy available?