Question

A small publishing company is planning to publish a new book. The production cost will include one time fix costs (such as editing) in variable cost (such as printing). There are two production methods it could use. One method, and one time fix cost will total $15,113, and the variable costs will be $22 per book. With the other method, The one time fixed costs will total $63,848, and the variable costs will be $10.75 per book. For how many books produced will the costs from the two methods be the same ? I NEED THIS ASAP !

Answer 1

For the first method the fix cost is $ 15,113 and the variable cost is $ 22/book.

For the second method the fix cost is $ 63,848 and the variable cost is $ 10.75/book.

Let the number of books be x for which the cost from the two methods is same,

$\begin{gathered} 15113+22x=63848+10.75x \\ 11.25x=48735 \\ x=4332 \end{gathered}$

Thus, the required number of books is 4332.