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 $53,808 , and the variable costs will be $12.50 per book. With the other method, the one-time fixed costs will total $17,328 , and the variable costs will be $20.50 per book. For how many books produced will the costs from the two methods be the same?
Assume x books are produced. Then let 53808 + 12.5x = 17328 + 20.5x Solve for x: x = 4560