SOLUTION: 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). The on

Algebra ->  Linear-equations -> SOLUTION: 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). The on      Log On


   

Question 1110423: 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). The one-time fixed costs will total
$67,600
. The variable costs will be
$8.75
per book. The publisher will sell the finished product to bookstores at a price of
$25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Found 3 solutions by josgarithmetic, TeachMath, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, how many books
y, production cost
y=8.75x%2B67600



For x books also SOLD, revenue is 25x.


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How many books must the publisher produce and sell so that the production costs will equal the money from sales?
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8.75x%2B67600=25x------------solve.

Answer by TeachMath(96) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct equation is


8.75*b + 67600 = 25*b


with the solution  b  = 67600%2F%2825-8.75%29 = 4160 books.

Be aware !:   The equation by  @josgarithmetic  was   W R O N G.