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). The one time fixed costs will total $44,528. The variable costs will be $11.50 per book. The publisher will sell the finished product to bookstores at a price of $22.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from the sales?

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).  The one time fixed costs will total $44,528.  The variable costs will be $11.50 per book.  The publisher will sell the finished product to bookstores at a price of $22.50 per book.  How many books must the publisher produce and sell so that the production costs will equal the money from the sales?