Set up the methods to equal each other:
![47,085 + 11.25x = 19,577 + 24.25x](https://img.qammunity.org/2019/formulas/mathematics/high-school/nh28gzum2e5atc4vbc3xrn1i73zcdtun6j.png)
The numbers will represent the one-time fixed costs, and the numbers with variables will represent variable costs.
Subtract 19,577 from both sides:
![27508 + 11.25x = 24.25x](https://img.qammunity.org/2019/formulas/mathematics/high-school/qn24kxzn5ylj3cnajqaa6eb2tzkcf21mks.png)
Subtract 11.25x from both sides:
![27508 = 13x](https://img.qammunity.org/2019/formulas/mathematics/high-school/rurz8nkjg1yu13smsiueh4cvdkdygv78di.png)
Divide both sides by 13 to get x by itself:
![x = 2116](https://img.qammunity.org/2019/formulas/mathematics/high-school/ksggncyu6j4kwky42rosxf2wpl7clrzxbb.png)
The two methods will cost the same if
2116 books are produced.