00:01
I think so.
00:02
We have a marginal cost of the following.
00:05
We have the following equation, and we also have a fixed cost of $10.
00:09
So a fixed cost of $10 means that our cost function evaluated at zero.
00:15
Well, that's this equal to 10.
00:17
Okay? and now we're asked to find our cost function with these two information.
00:21
So we have the derivative of our cost function.
00:24
So if we take the integral of our derivative, we can find our cost function, right? because the integral of c prime of x.
00:33
That's just equal to c of x.
00:37
So let's take the integral.
00:39
So using our sum rule, we get the following.
00:48
And now we'll notice that we have a 5 and a 0 .2 as a constant.
00:52
So we can use our constant multiple rule to bring that outside of our integral.
00:58
Okay, so that gives us this...