# Calculus Question - How to find the marginal revenue?

• Dec 9th 2012, 09:49 AM
Arivioz
Calculus Question - How to find the marginal revenue?
 The marginal revenue function is the differential of the total revenue function. For the total revenue function TR = 500Q + 3Q2 where Q is the quantity produced, find the value of the marginal revenue (MR) when Q equals 71. Give answer to nearest integer value.

Can someone please show me how to answer this question? Thanks very much
• Dec 9th 2012, 09:58 AM
skeeter
Re: Calculus Question - How to find the marginal revenue?
you first ... what is the derivative of $\displaystyle R = 500Q + 3Q^2$ ?
• Dec 9th 2012, 10:02 AM
Arivioz
Re: Calculus Question - How to find the marginal revenue?
Quote:

Originally Posted by skeeter
you first ... what is the derivative of $\displaystyle R = 500Q + 3Q^2$ ?

I don't know how to do that, would you mind showing me?
• Dec 9th 2012, 10:21 AM
skeeter
Re: Calculus Question - How to find the marginal revenue?
When a person posts a problem, we assume they have the basic knowledge to at least attempt to work it out. I can tell you that this is a very basic derivative. I recommend you research how ... here's a link to get you started.

http://evlm.stuba.sk/~partner7/DBfil...rentiation.pdf
• Dec 9th 2012, 10:46 AM
Arivioz
Re: Calculus Question - How to find the marginal revenue?
okay so

$\displaystyle \frac{dt}{dq} = 500 + 6Q$
• Dec 9th 2012, 10:48 AM
Arivioz
Re: Calculus Question - How to find the marginal revenue?
can you show me what to do next?
• Dec 9th 2012, 11:04 AM
skeeter
Re: Calculus Question - How to find the marginal revenue?
Quote:

Originally Posted by Arivioz
$\displaystyle {\color{red}\frac{dR}{dQ}} = 500 + 6Q$

correction ...

... now sub in Q = 71 to find the marginal revenue.
• Dec 9th 2012, 11:14 AM
Arivioz
Re: Calculus Question - How to find the marginal revenue?
okay so the answer is 926?