Joshua is planning a bake sale to raise funds for his class field trip. He needs to make at least $100 to meet this goal, but it is okay if he goes above that. He plans to sell muffins and cookies by the dozen. The dozen muffins will sell for a profit of $4.86, and the dozen cookies will sell for a profit of $10. Based on sales from the previous year, he wants to make at least 8 more bags of cookies than bags of muffins. The cookies require 1 cup of sugar and 3/4 cups of flour per dozen. The muffins require 1/2 cup of sugar and 3/2 cups of flour per dozen. Joshua looks into his cabinet and finds that he has 13 cups of sugar and 11 cups of flour, but he does not plan to go get more from the store. He also knows that he can only bake one pan of a dozen muffins or one pan of a dozen cookies at a time. What is the maximum amount of money Joshua could make if he used all of his ingredients to make as many dozens of muffins and cookies as he could? Round to the nearest penny.