Asmall 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 $23,066, and the variable costs will be $22.25 per book. with the other method, the one-time fixed costs will total $66,195, and the variable costs will be $11.50 per book. for how many books produced will the costs from the two methods be the same?

The small publishing company has to publish 4012 new books so they can have the same cost from the two methods.

Step-by-step explanation:

Let's take the equation.

22.25X + 23066 = 11.50X + 66195

We have the unit cost for book in the two sides + the two fixed cost, and we want to be the same, that's why we put the =.

So let's solve it.

22.25X - 11.5X = 66195 - 23066

10.75X = 43129

x=43129 / 10.75

x =4012

Let's check

22.25 x 4012 + 23066 = 112333

11.50 x 4012 + 66195 = 112333.

:)

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3