A small U.S. candy shop makes a special Cupid​ assortment, with 60 red pieces of candy and 40 white pieces of​ candy, that makes a profit of ​$6. A special Patriotic assortment has 30 pieces of red​ candy, 35 pieces of white​ candy, and 30 pieces of blue candy and makes a profit of ​$7. 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 1260 pieces of blue candy​ available?