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 $82,910, and the variable costs will be $10.75 per book. With the other method, the one-time fixed costs will total $22,110 , and the variable costs will be $23.25 per book. For how many books produced will the costs from the two methods be the same?

Answer 1

Answer:

When 4864 books are sold

Step-by-step explanation:

Create an equation where x is the number of books produced:

The first method will be represented by 10.75x + 82,910

The second method will be represented by 23.25x + 22,110

Set these equal to each other and solve for x:

10.75x + 82,910 = 23.25x + 22,110

82,910 = 12.5x + 22,110

60,800 = 12.5x

4864 = x

So, the costs will be the same for both methods when 4864 books are sold