00:01
Here, we're told that the cost function, c of x, is equal to 0 .04x cubed plus 0 .3x squared plus 50x plus 140.
00:12
And we're only true between 0 and 1 ,500.
00:15
And then we're going to look at a point a equals 1 ,000.
00:19
But first, let's find what is the average cost and marginal cost? so let's just say the average cost.
00:25
Well, that's just being the cost divided by x.
00:27
So it's 0 .04 x squared because i divided by x plus 0 .3x plus 50 plus 140 over x.
00:36
And then we're asked to find the marginal cost.
00:39
Well, the marginal cost is just the derivative of the cost.
00:45
So 3 times 4 is 0 .12x squared plus 0 .6x plus 50.
00:50
That's the marginal cost.
00:53
And now determine the average and marginal cost when x equals 1 ,000, well, that just means what is the cost of a thousand? that means let's plug that into this original function, oh, sorry, into the average function...