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 fixedcosts will total $19,437, and the variable costs will be $18.75 per book. With the other method, the one-time fixed costs will total $71,643, and the variable costs will be $8.25 per book. For how many books produced will the costs from the two methods be the same?

Respuesta :

Method 1 cost
C=18.75x+19437

Method 2 cost
C=8.25x+71641

Method 1=method 2
18.75x+19437=8.25x+71641
Solve for x
X=4971.8=4972 books will have the same cost