Question

For how many books produced will the costs from the two methods be the same

Answer 1

`4780\text{ books}`

Step-by-step explanation:

Here, we want to get the number of books for which the cost of the two methods will be the same

What we have to do here is to get the cost of each method, then equate to find the number of books

Let the number of books be b

For the first method, we have it that:

`\begin{gathered} 70976\text{ + }9.75(b) \\ =\text{ 70976 + 9.75b} \end{gathered}`

For the second method, we have it that:

`\begin{gathered} 16006\text{ + }21.25(b) \\ =\text{ 16006 + 21.25b} \end{gathered}`

To get the number of books, we have to equate both

Mathematically, that would be:

`\begin{gathered} 70976\text{ + 9.75b = 16006 + 21.25b} \\ 70976-16006\text{ = 21.25b-9.75b} \\ 54970\text{ = 11.5b} \\ b\text{ = }(54970)/(11.5) \\ b\text{ = 4,780} \end{gathered}`