Kari is making baked goods for a party. Each batch of cookies use 2 eggs and 4 cups of flower. Each batch of cupcakes use 4 eggs and 3 cups of flower. Kari has 2 dozen eggs and 30 cups of flower on hand. How many batches of each should Kari make to maximize the amount of servings?

If a single batch of cookies and cupcakes makes 12 servings, how many servings will she have if she maximizes her amount?