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 (in dollars) is given by the function c = 19.95N+550, where N is the number of books. The total revenue earned (in dollars) from selling the books is given by the function R= 34.60N.
Let P be the profit made (in dollars). Write an equation relating P to N . Simplify your answer as much as possible.