Question

A small publishing company is planning to publish a new book. The production cost to include a one-time fixed cost and variable cost. There are two production methods it could use. With one method the one fixed cost will total $19,521, and the variable cost will be $21 per book. But the other method, the one-time fixed cost will total $62,265, and the variable cost will be $11.25 per book. For how many books produce will accost from the two methods be the same?

Answer 1

The number of the books is 4384.

Explanation:

Let, the number of the books will be x.

With the first method, the total cost will be, $(19521 + 21x) and with the second method, the total cost will be $(62265 + 11.25x).

As per the given condition it is told that the costing should be equal.

Hence,
`19521 + 21x = 62265 + 11.25x\\x = 4384`.