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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function , where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function .
Let be the profit made (in dollars). Write an equation relating to N . Simplify your answer as much as possible.

Ask by Kelly Huang. in the United States
Mar 19,2025

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To find the profit , we start with the profit equation, which is the total revenue minus the total production cost .
We have the equations:
Now, we can express profit as:
Substituting the values we have:
Now, simplifying the equation:
Combine the terms involving :
Calculating the coefficient:
So, the equation relating to is:

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