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.

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Answer:

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 amount to $17,750 . The variable costs will be $12.75 per book.

Step-by-step explanation:

The equation that should be related P to N is 13.75N - 550.

Calculation of the equation:

Since 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.

So here the equation could be

Profit = Revenue - cost

= 33.70N - 19.95N - 550

= 13.75N - 550

hence, The equation that should be related P to N is 13.75N - 550.

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