0:00
Hey there.
00:01
So for this problem, we are told that williams commuter air service realizes a modeling revenue that is equal to the following function, r of adds, is equal to 8 ,000 times adds, and this minus 100 adds to the square.
00:23
Dollars when the price charge per passenger is x dollars.
00:28
So for part a of this problem, what we need to determine is the marginal revenue, so that is the derivative of this previous expression.
00:42
So what we need to do is to take the derivative of the revenue function with respect to ads.
00:50
So in this case, it's quite easy to obtain because we will have.
00:54
The derivative of ads that is equal to 1, so we obtain 8 ,000, and this minus.
01:02
We have the derivative of x squared.
01:04
So we can take down the two.
01:06
So we obtain 200 times adds.
01:11
And this corresponds to the marginal revenue.
01:17
So that's a solution for part a of this problem...