A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and 1 and 3 fourths cups of cheese. Its large ziti dish uses 2 cups of sauce and 3 cups of cheese. The business has 100 cups of sauce and 400 cups of cheese on hand. It makes 6 dollars profit on their small dishes and 5 dollars profit on their large dishes. It wants to maximize the profit from selling the two sizes of ziti. Let x represent the number of small dishes and y represent the number of large dishes. What are the constraints for the problem?