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 $23,245 , and the variable costs will be $21.50 per book. With the other method, the one-time fixed costs will total $46,389 , and the variable costs will be $10.50 per book. For how many books produced will the costs from the two methods be the same?

Answer 1

23245 + 21.50b = 46389 + 10.50b
21.50b - 10.50b = 46389 - 23245
11b = 23144
b = 23144/11
b = 2104 <== the cost will be the same at 2104 books