Question

Urgent!!! 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 $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answer 1

4,128 books

Explanation:

Let

x = number of books

Fixed cost = $44,376

Variable cost = $8.25 per book

Total cost = fixed cost + variable cost

Total cost = 44,376 + 8.25x

Selling price of book = $19 per book

Total revenue = 19x

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

Total cost = Total revenue

44,376 + 8.25x = 19x

44,376 = 19x - 8.25x

44,376 = 10.75x

x =44,376/10.75

x = 4,128 books

The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales