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). the one-time fixed costs will total $44,144. the variable costs will be $9.25 per book. the publisher will sell the finished product to bookstores at a price of $24.75 per book. how many books must the publisher produce and sell so that the production costs will equal the money from sales?
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  2848

Step-by-step explanation:

The cost function is ...

  c(n) = 44144 +9.25n

The revenue function is ...

  r(n) = 24.75n

You want revenue to equal cost (the break-even point).

  c(n) = r(n)

  44144 +9.25n = 24.75n

  44144 = 15.50n . . . . . . . . . subtract 9.25n

  44144/15.50 = n = 2848 . . . . . divide by the coefficient of n

The publisher must produce and sell 2848 books to make production cost equal to sales.

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