Basic funtion, just can't figure out one part

  • Thread starter Bitter
  • Start date
  • #1
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The problem is this

A cable television firm presently serves 5000 households and charrges 20 dollars per month. A marketing survey indicates that each decrease of 1 dollar in the monthly charge will result in 500 new customers. Let R(x) denote the total monthly revenue when the monthly charge is x dollars.

Determine the revenue function R

The back of the book says
R(x)=500x(30-x)

I don't see where the 30 comes from, can anyone tell me?
 

Answers and Replies

  • #2
vsage
30 is given information. It is obtained by observing that increasing the monthly fee by 10 dollars from 20 would result in 0 households with the service.
 
  • #3
98
0
ah! Thank you. I feel stupid now. how could i overlook that.
 
  • #4
98
0
Well, since my new problem relates to basic functions, I figured I'll just reuse to this topic.

This isn't exactly homework, but I just have a question.

Why does (x^2+1)(x-1)/(x^2 + 1)(x-2) not have a hole in the graph despite having a common factor?
 
  • #5
HallsofIvy
Science Advisor
Homework Helper
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Because x2+ 1 is never 0.
 

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