Q:

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 $45,920. The variable costs will be $11.25 per book. The publisher will sell the finished product to bookstores at a price of $21.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Accepted Solution

A:
Answer:Number of books = 4480.Step-by-step explanation:Given that fixed cost = $45920Given that variable cost = $11.25 per bookLet number of books Β = xthen cost equation is given by 11.25x + 45920Given that selling price of 1 book Β = $21.50then selling price is given by 21.50x Now we need to find about how many books must the publisher produce and sell so that the production costs will equal the money from sales.So let's set both equal21.50x = 11.25x + 4592021.50x - 11.25x = 4592010.25x = 45920x = 45920/10.25x = 4480Hence number of books = 4480.