Alan wants to bake blueberry muffins and bran muffins for the school bake sale. for a tray of blueberry muffins, alan uses 1/3 cup of oil and 2 eggs. for a tray of bran muffins, alan uses 1/2 cup of oil and 1 egg. alan has 4 cups of oil and 12 eggs on hand. he sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. alan wants to maximize the money raised at the bake sale. let x represent the number of blueberry muffins and y represent the number of bran muffins alan bakes.