Question

Combining Functions to Write a New Function that Models a Real-World Situation

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 C=550=18.95N , where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R=33.70N .

Let P be the profit made (in dollars). Write an equation relating P to N . Simplify your answer as much as possible.

Answer 1

profit = Revenue - Costs

this is like the last one, but in this one you subtract

Answer 2

what is revenue (R) equal to?

Answer 3

@Jim766 how do you know what to add/subtract?

Answer 4

In the problem what is the revenue?

Answer 5

r=33.70N

Answer 6

P = 33.70N - C

and what is the cost, according to the problem

Answer 7

c=550+18.95N

Answer 8

P = R - C
P = 33.70N - (550 + 18.95N)

I know to subtract in this case, because I know that Profit = Rev - Cost
They just expect you to know that...

Answer 9

do you know how to subtract this, to simplify it

Answer 10

@Jim766 I get that you can solve it, but I'm having difficulty knowing when to add/subtract what variables

Answer 11

So what you're saying is I don't have to be a moron to get this?

Answer 12

you can get this...lol

P = 33.70N - (550 + 18.95N)
p = 33.70N -550 - 18.95N

Answer 13

now just combine like terms

Answer 14

@Jim766 I really appreciate your help, thanks a lot

Answer 15

NP