Models company revenue is R=-15p^2+300p+12000, where p is the price in dollars of the company's product.?

Question

Models company revenue is R=-15p^2+300p+12000, where p is the price in dollars of the company's product.

1. What price will maximize revenue?

2.What is the maximum revenue?

Answer 1

Favorite Answer

1. 10

2. 13,500

Answer 2

It's pretty simple, just use the vertex formula:

- b

----

2 a

Where:

a = -15

b = 300

- 300

---------

2 (-15)

- 300

---------

- 30

Max price = 10 dollars.

..................

Now, plug the max price into the equation:

R = -15 (10)^2 + 300 (10) + 12000

R = -15 (100) + 3000 + 12000

R = -1500 + 3000 + 12000

R = $13,500

Good luck in your classes.

The exact same question was posted a few minutes ago.

http://answers.yahoo.com/question/index?qid=200612...

Answer 3

10 is the max price and 13500 is the max revenue