How many books must the publisher produce and sell so that the production costs will equal the money from 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 $32,916

. The variable costs will be $12

 per book. The publisher will sell the finished product to bookstores at a price of $21.75

 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answer 1

C(x) = 32916+12x = R(x) = 21.75x

21.75x -12x = 32916

9.75x = 32916

x = 32916/9.75 = about 329.846. You need at least 330 books sold to break even