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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 $57,077 , and the variable costs will be $11.75 per book. With the other method, the one-time fixed costs will total $22,459, and the variable costs will be $21.25 per book. For how many books produced will the costs from the two methods be the same?

User Batazor
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1 Answer

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23 votes

Answer:

for 3644 produced books the costs will be the same.

Explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

34618 = 9.5x

x = 34618 / 9.5 = 3644

User Anil Jadhav
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