00:01
So in this problem we are given the graph for our cost function and we're asked first of all whether the marginal cost is greater at q equals 5 or q equals 30.
00:13
So let's just remember that marginal cost, the definition is the derivative of the cost function.
00:19
So all we're going to be looking for is the slope of the tangent line to this graph.
00:25
So let's look at q equals 5 first of all, which would be right there.
00:30
And we see that the slope of the tangent line is definitely positive and pretty steep, in fact.
00:38
At q equals 30, which is right here, if we look just above 30, the slope of the tangent line is decided less.
00:49
So we have a much shallower slope.
00:51
So definitely q equals 5 has the greater marginal cost...