Question

A small 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 , and the variable costs will be per book. With the other method, the one-time fixed costs will total , and the variable costs will be per book. For how many books produced will the costs from the two methods be the same

Answer 1

Answer:

The number of books that will be produced such that the costs from the two methods be the same is 4668 units.

Explanation:

Answer 2

The number of books that will be produced such that the costs from the two methods be the same is 4668 units.

From the complete question, the total cost of the first equation will be:

= 8.25x + 65054

The total cost for the second equation will be:

= 19.50x + 12539

Then, we'll equate both equations together and this will be:

8.25x + 65054 = 19.50x + 12539

Collect like terms

19.50x - 8.25x = 65054 - 12539

11.25x = 52515

Divide both side by 11.25

11.25x/11.25 = 52515/11.25

x = 4668 units.

Therefore, the breakeven unit will be 4668 units.

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