00:01
Hello.
00:02
So here we've been given cost to be 0 .0005xq minus 0 .07 squared plus 160x plus 6 ,000.
00:25
We want to find the marginal cost.
00:28
Cost.
00:29
So here the marginal cost is just the differential of the cost.
00:45
So we're essentially finding gdx of 0 .005 xq minus 0 .07 x squared plus 160 plus 6000.
01:05
The differential of that is going to be point zero one five x squared minus point one four x plus 160 now at x equals 500 to have c c1 at 500.
01:36
That's going to be 0 .0015.
01:42
One second here.
01:44
This is point of two zeros here.
01:49
So 0 .0015.
01:51
And then we have into 500 squared minus 0 .14 into 500 plus 160.
02:03
This is going to be 465 .00.
02:14
Now let's take note here that the actual cost for manufacturing the 501 television, that's going to be c of 501 minus c, the cost of 500.
03:04
Hundred okay so we first look at c of five zero one that's gonna be point zero zero zero so keep in mind that this is not a differential okay so five into five zero one q minus point zero seven into 501 all squared plus 160 into 501 plus 6 ,000.
04:05
Okay...
