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 $45,546, and the variable costs will be $12.75 per book. With the other method, the one-time fixed costs will total $20,890 , and the variable costs will be $24.25 per book. For how many books produced will the costs from the two methods be the same?

Question

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  $45,546, and the variable costs will be $12.75  per book. With the other method, the one-time fixed costs will total $20,890  , and the variable costs will be $24.25 per book. For how many books produced will the costs from the two methods be the same?