Question
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.
printed. The total production cost C (in dollars) is given by the function
The total revenue earned (in dollars) from selling the books is given by the function
Let
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: