Miss P started a bakery. She likes to make cake balls and cupcakes. In order to make the baked goods she needs to stock up on flour and sugar. So far she has 480 cups of sugar and 270 cups of flour. She has to use at least 200 cups of pre-made icing that day, but can easily make more if she needs to. The cake ball recipe calls for 6 cups of flour and 16 cups of sugar. The cupcake recipe calls for 9 cups of flour and 12 cups of sugar. Each batch of cake balls uses 5 cups of icing and each batch of cupcakes requires 10 cups of icing. Mrs. Fletcher has already ordered 3 full batches of cake balls for her colleagues in the math department, but other departments may order more.