A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $ 22,300 , and the variable costs will be $ 24 per book. With the other method, the one-time fixed costs will total $ 88,480 , and the variable costs will be $ 9 per book. For how many books produced will the costs from the two methods be the same?