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 $15,192 , and the variable costs will be $21.50 per book. With the other method, the one-time fixed costs will total $45,690, and the variable costs will be $11.75 per book. For how many books produced will the costs from the two methods be the same?

Answer 1

cost = c
books made =b
method 1:
c=21.5b+15192
method 2:
c=11.75b+45690
to find where they are equal
21.5b+15192=11.75b+45690
b=3128 books